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Finding the Third Proportional to 83,053,984.50 and 181,739,425.50

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Solution

The third proportional to 83,053,984.50 and 181,739,425.50 is: 397,683,735.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,053,984.50 : 181,739,425.50 = 181,739,425.50 : x
  2. Step 2: Convert to fraction form
    83,053,984.50/181,739,425.50 = 181,739,425.50/x
  3. Step 3: Cross multiply
    83,053,984.50x = 181,739,425.50 × 181,739,425.50
  4. Step 4: Simplify right side
    83,053,984.50x = 33,029,218,781,070,052
  5. Step 5: Solve for x
    x = 33,029,218,781,070,052/83,053,984.50
  6. Step 6: Final answer
    x = 397,683,735.22

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.