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Finding the Third Proportional to 109,540,707 and 231,304,527

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Solution

The third proportional to 109,540,707 and 231,304,527 is: 488,419,197.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,540,707 : 231,304,527 = 231,304,527 : x
  2. Step 2: Convert to fraction form
    109,540,707/231,304,527 = 231,304,527/x
  3. Step 3: Cross multiply
    109,540,707x = 231,304,527 × 231,304,527
  4. Step 4: Simplify right side
    109,540,707x = 53,501,784,210,693,728
  5. Step 5: Solve for x
    x = 53,501,784,210,693,728/109,540,707
  6. Step 6: Final answer
    x = 488,419,197.54

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.