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Finding the Third Proportional to 49,074,779 and 103,226,286

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Solution

The third proportional to 49,074,779 and 103,226,286 is: 217,131,209.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,074,779 : 103,226,286 = 103,226,286 : x
  2. Step 2: Convert to fraction form
    49,074,779/103,226,286 = 103,226,286/x
  3. Step 3: Cross multiply
    49,074,779x = 103,226,286 × 103,226,286
  4. Step 4: Simplify right side
    49,074,779x = 10,655,666,121,353,796
  5. Step 5: Solve for x
    x = 10,655,666,121,353,796/49,074,779
  6. Step 6: Final answer
    x = 217,131,209.52

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.