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Finding the Third Proportional to 103,881,066 and 221,658,708

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Solution

The third proportional to 103,881,066 and 221,658,708 is: 472,969,567.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,881,066 : 221,658,708 = 221,658,708 : x
  2. Step 2: Convert to fraction form
    103,881,066/221,658,708 = 221,658,708/x
  3. Step 3: Cross multiply
    103,881,066x = 221,658,708 × 221,658,708
  4. Step 4: Simplify right side
    103,881,066x = 49,132,582,832,229,264
  5. Step 5: Solve for x
    x = 49,132,582,832,229,264/103,881,066
  6. Step 6: Final answer
    x = 472,969,567.26

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.