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Finding the Third Proportional to 47,997,458 and 103,656,251

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Solution

The third proportional to 47,997,458 and 103,656,251 is: 223,858,071.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,997,458 : 103,656,251 = 103,656,251 : x
  2. Step 2: Convert to fraction form
    47,997,458/103,656,251 = 103,656,251/x
  3. Step 3: Cross multiply
    47,997,458x = 103,656,251 × 103,656,251
  4. Step 4: Simplify right side
    47,997,458x = 10,744,618,371,375,000
  5. Step 5: Solve for x
    x = 10,744,618,371,375,000/47,997,458
  6. Step 6: Final answer
    x = 223,858,071.22

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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.