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Finding the Third Proportional to 81,201,640 and 191,627,620

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Solution

The third proportional to 81,201,640 and 191,627,620 is: 452,221,713.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,201,640 : 191,627,620 = 191,627,620 : x
  2. Step 2: Convert to fraction form
    81,201,640/191,627,620 = 191,627,620/x
  3. Step 3: Cross multiply
    81,201,640x = 191,627,620 × 191,627,620
  4. Step 4: Simplify right side
    81,201,640x = 36,721,144,746,864,400
  5. Step 5: Solve for x
    x = 36,721,144,746,864,400/81,201,640
  6. Step 6: Final answer
    x = 452,221,713.09

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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.