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Finding the Third Proportional to 41,948,690.38 and 98,884,728.02

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Solution

The third proportional to 41,948,690.38 and 98,884,728.02 is: 233,098,801.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,948,690.38 : 98,884,728.02 = 98,884,728.02 : x
  2. Step 2: Convert to fraction form
    41,948,690.38/98,884,728.02 = 98,884,728.02/x
  3. Step 3: Cross multiply
    41,948,690.38x = 98,884,728.02 × 98,884,728.02
  4. Step 4: Simplify right side
    41,948,690.38x = 9,778,189,435,110,772
  5. Step 5: Solve for x
    x = 9,778,189,435,110,772/41,948,690.38
  6. Step 6: Final answer
    x = 233,098,801.10

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.