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Finding the Third Proportional to 83,047,537 and 181,735,062

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Solution

The third proportional to 83,047,537 and 181,735,062 is: 397,695,512.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,047,537 : 181,735,062 = 181,735,062 : x
  2. Step 2: Convert to fraction form
    83,047,537/181,735,062 = 181,735,062/x
  3. Step 3: Cross multiply
    83,047,537x = 181,735,062 × 181,735,062
  4. Step 4: Simplify right side
    83,047,537x = 33,027,632,760,143,844
  5. Step 5: Solve for x
    x = 33,027,632,760,143,844/83,047,537
  6. Step 6: Final answer
    x = 397,695,512.15

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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.