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Finding the Third Proportional to 48,857,706 and 107,398,537

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Solution

The third proportional to 48,857,706 and 107,398,537 is: 236,082,425.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,857,706 : 107,398,537 = 107,398,537 : x
  2. Step 2: Convert to fraction form
    48,857,706/107,398,537 = 107,398,537/x
  3. Step 3: Cross multiply
    48,857,706x = 107,398,537 × 107,398,537
  4. Step 4: Simplify right side
    48,857,706x = 11,534,445,749,740,368
  5. Step 5: Solve for x
    x = 11,534,445,749,740,368/48,857,706
  6. Step 6: Final answer
    x = 236,082,425.76

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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.