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Finding the Third Proportional to 83,375,898.75 and 181,104,657.75

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Solution

The third proportional to 83,375,898.75 and 181,104,657.75 is: 393,385,829.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,375,898.75 : 181,104,657.75 = 181,104,657.75 : x
  2. Step 2: Convert to fraction form
    83,375,898.75/181,104,657.75 = 181,104,657.75/x
  3. Step 3: Cross multiply
    83,375,898.75x = 181,104,657.75 × 181,104,657.75
  4. Step 4: Simplify right side
    83,375,898.75x = 32,798,897,058,744,636
  5. Step 5: Solve for x
    x = 32,798,897,058,744,636/83,375,898.75
  6. Step 6: Final answer
    x = 393,385,829.12

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.