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Finding the Third Proportional to 48,857,708 and 107,398,541

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Solution

The third proportional to 48,857,708 and 107,398,541 is: 236,082,433.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,857,708 : 107,398,541 = 107,398,541 : x
  2. Step 2: Convert to fraction form
    48,857,708/107,398,541 = 107,398,541/x
  3. Step 3: Cross multiply
    48,857,708x = 107,398,541 × 107,398,541
  4. Step 4: Simplify right side
    48,857,708x = 11,534,446,608,928,680
  5. Step 5: Solve for x
    x = 11,534,446,608,928,680/48,857,708
  6. Step 6: Final answer
    x = 236,082,433.69

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.