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Finding the Third Proportional to 49,750,590 and 107,650,307

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Solution

The third proportional to 49,750,590 and 107,650,307 is: 232,933,691.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,750,590 : 107,650,307 = 107,650,307 : x
  2. Step 2: Convert to fraction form
    49,750,590/107,650,307 = 107,650,307/x
  3. Step 3: Cross multiply
    49,750,590x = 107,650,307 × 107,650,307
  4. Step 4: Simplify right side
    49,750,590x = 11,588,588,597,194,248
  5. Step 5: Solve for x
    x = 11,588,588,597,194,248/49,750,590
  6. Step 6: Final answer
    x = 232,933,691.79

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.