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Finding the Third Proportional to 183,697,094,777.62 and 255,416,127,023.82

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Solution

The third proportional to 183,697,094,777.62 and 255,416,127,023.82 is: 355,135,708,721.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,697,094,777.62 : 255,416,127,023.82 = 255,416,127,023.82 : x
  2. Step 2: Convert to fraction form
    183,697,094,777.62/255,416,127,023.82 = 255,416,127,023.82/x
  3. Step 3: Cross multiply
    183,697,094,777.62x = 255,416,127,023.82 × 255,416,127,023.82
  4. Step 4: Simplify right side
    183,697,094,777.62x = 65,237,397,943,848,154,431,488
  5. Step 5: Solve for x
    x = 65,237,397,943,848,154,431,488/183,697,094,777.62
  6. Step 6: Final answer
    x = 355,135,708,721.05

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.