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Finding the Third Proportional to 218,565,550.13 and 356,860,090.13

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Solution

The third proportional to 218,565,550.13 and 356,860,090.13 is: 582,658,721.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,565,550.13 : 356,860,090.13 = 356,860,090.13 : x
  2. Step 2: Convert to fraction form
    218,565,550.13/356,860,090.13 = 356,860,090.13/x
  3. Step 3: Cross multiply
    218,565,550.13x = 356,860,090.13 × 356,860,090.13
  4. Step 4: Simplify right side
    218,565,550.13x = 127,349,123,924,023,120
  5. Step 5: Solve for x
    x = 127,349,123,924,023,120/218,565,550.13
  6. Step 6: Final answer
    x = 582,658,721.15

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.