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Finding the Third Proportional to 83,047,539 and 181,735,066

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Solution

The third proportional to 83,047,539 and 181,735,066 is: 397,695,520.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,047,539 : 181,735,066 = 181,735,066 : x
  2. Step 2: Convert to fraction form
    83,047,539/181,735,066 = 181,735,066/x
  3. Step 3: Cross multiply
    83,047,539x = 181,735,066 × 181,735,066
  4. Step 4: Simplify right side
    83,047,539x = 33,027,634,214,024,356
  5. Step 5: Solve for x
    x = 33,027,634,214,024,356/83,047,539
  6. Step 6: Final answer
    x = 397,695,520.08

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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.