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Finding the Third Proportional to 102,938,947.50 and 226,281,876

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Solution

The third proportional to 102,938,947.50 and 226,281,876 is: 497,416,076.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,938,947.50 : 226,281,876 = 226,281,876 : x
  2. Step 2: Convert to fraction form
    102,938,947.50/226,281,876 = 226,281,876/x
  3. Step 3: Cross multiply
    102,938,947.50x = 226,281,876 × 226,281,876
  4. Step 4: Simplify right side
    102,938,947.50x = 51,203,487,406,079,376
  5. Step 5: Solve for x
    x = 51,203,487,406,079,376/102,938,947.50
  6. Step 6: Final answer
    x = 497,416,076.71

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.