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Finding the Third Proportional to 83,047,555.50 and 181,735,099.50

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Solution

The third proportional to 83,047,555.50 and 181,735,099.50 is: 397,695,587.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,047,555.50 : 181,735,099.50 = 181,735,099.50 : x
  2. Step 2: Convert to fraction form
    83,047,555.50/181,735,099.50 = 181,735,099.50/x
  3. Step 3: Cross multiply
    83,047,555.50x = 181,735,099.50 × 181,735,099.50
  4. Step 4: Simplify right side
    83,047,555.50x = 33,027,646,390,274,900
  5. Step 5: Solve for x
    x = 33,027,646,390,274,900/83,047,555.50
  6. Step 6: Final answer
    x = 397,695,587.68

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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.