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Finding the Third Proportional to 134,023,050 and 291,778,234

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Solution

The third proportional to 134,023,050 and 291,778,234 is: 635,223,104.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,023,050 : 291,778,234 = 291,778,234 : x
  2. Step 2: Convert to fraction form
    134,023,050/291,778,234 = 291,778,234/x
  3. Step 3: Cross multiply
    134,023,050x = 291,778,234 × 291,778,234
  4. Step 4: Simplify right side
    134,023,050x = 85,134,537,836,158,752
  5. Step 5: Solve for x
    x = 85,134,537,836,158,752/134,023,050
  6. Step 6: Final answer
    x = 635,223,104.06

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.