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Finding the Third Proportional to 49,193,657 and 107,654,363

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Solution

The third proportional to 49,193,657 and 107,654,363 is: 235,588,540.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,193,657 : 107,654,363 = 107,654,363 : x
  2. Step 2: Convert to fraction form
    49,193,657/107,654,363 = 107,654,363/x
  3. Step 3: Cross multiply
    49,193,657x = 107,654,363 × 107,654,363
  4. Step 4: Simplify right side
    49,193,657x = 11,589,461,872,935,768
  5. Step 5: Solve for x
    x = 11,589,461,872,935,768/49,193,657
  6. Step 6: Final answer
    x = 235,588,540.88

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.