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Finding the Third Proportional to 83,375,112 and 183,712,584

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Solution

The third proportional to 83,375,112 and 183,712,584 is: 404,800,817.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,375,112 : 183,712,584 = 183,712,584 : x
  2. Step 2: Convert to fraction form
    83,375,112/183,712,584 = 183,712,584/x
  3. Step 3: Cross multiply
    83,375,112x = 183,712,584 × 183,712,584
  4. Step 4: Simplify right side
    83,375,112x = 33,750,313,519,957,056
  5. Step 5: Solve for x
    x = 33,750,313,519,957,056/83,375,112
  6. Step 6: Final answer
    x = 404,800,817.78

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.