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Finding the Third Proportional to 243,892,544 and 523,150,288

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Solution

The third proportional to 243,892,544 and 523,150,288 is: 1,122,159,043.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,892,544 : 523,150,288 = 523,150,288 : x
  2. Step 2: Convert to fraction form
    243,892,544/523,150,288 = 523,150,288/x
  3. Step 3: Cross multiply
    243,892,544x = 523,150,288 × 523,150,288
  4. Step 4: Simplify right side
    243,892,544x = 273,686,223,834,482,944
  5. Step 5: Solve for x
    x = 273,686,223,834,482,944/243,892,544
  6. Step 6: Final answer
    x = 1,122,159,043.26

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.