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Finding the Third Proportional to 100,657,971 and 220,156,110

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Solution

The third proportional to 100,657,971 and 220,156,110 is: 481,518,873.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,657,971 : 220,156,110 = 220,156,110 : x
  2. Step 2: Convert to fraction form
    100,657,971/220,156,110 = 220,156,110/x
  3. Step 3: Cross multiply
    100,657,971x = 220,156,110 × 220,156,110
  4. Step 4: Simplify right side
    100,657,971x = 48,468,712,770,332,096
  5. Step 5: Solve for x
    x = 48,468,712,770,332,096/100,657,971
  6. Step 6: Final answer
    x = 481,518,873.16

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.