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Finding the Third Proportional to 47,997,432 and 103,656,199

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Solution

The third proportional to 47,997,432 and 103,656,199 is: 223,857,967.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,997,432 : 103,656,199 = 103,656,199 : x
  2. Step 2: Convert to fraction form
    47,997,432/103,656,199 = 103,656,199/x
  3. Step 3: Cross multiply
    47,997,432x = 103,656,199 × 103,656,199
  4. Step 4: Simplify right side
    47,997,432x = 10,744,607,591,127,600
  5. Step 5: Solve for x
    x = 10,744,607,591,127,600/47,997,432
  6. Step 6: Final answer
    x = 223,857,967.88

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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.