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Finding the Third Proportional to 102,938,947 and 226,281,874

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Solution

The third proportional to 102,938,947 and 226,281,874 is: 497,416,070.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,938,947 : 226,281,874 = 226,281,874 : x
  2. Step 2: Convert to fraction form
    102,938,947/226,281,874 = 226,281,874/x
  3. Step 3: Cross multiply
    102,938,947x = 226,281,874 × 226,281,874
  4. Step 4: Simplify right side
    102,938,947x = 51,203,486,500,951,872
  5. Step 5: Solve for x
    x = 51,203,486,500,951,872/102,938,947
  6. Step 6: Final answer
    x = 497,416,070.33

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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.