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Finding the Third Proportional to 81,201,607.88 and 191,627,551.13

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Solution

The third proportional to 81,201,607.88 and 191,627,551.13 is: 452,221,566.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,201,607.88 : 191,627,551.13 = 191,627,551.13 : x
  2. Step 2: Convert to fraction form
    81,201,607.88/191,627,551.13 = 191,627,551.13/x
  3. Step 3: Cross multiply
    81,201,607.88x = 191,627,551.13 × 191,627,551.13
  4. Step 4: Simplify right side
    81,201,607.88x = 36,721,118,350,164,488
  5. Step 5: Solve for x
    x = 36,721,118,350,164,488/81,201,607.88
  6. Step 6: Final answer
    x = 452,221,566.93

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.