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Finding the Third Proportional to 104,429,956 and 217,441,928

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Solution

The third proportional to 104,429,956 and 217,441,928 is: 452,753,154.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,429,956 : 217,441,928 = 217,441,928 : x
  2. Step 2: Convert to fraction form
    104,429,956/217,441,928 = 217,441,928/x
  3. Step 3: Cross multiply
    104,429,956x = 217,441,928 × 217,441,928
  4. Step 4: Simplify right side
    104,429,956x = 47,280,992,052,357,184
  5. Step 5: Solve for x
    x = 47,280,992,052,357,184/104,429,956
  6. Step 6: Final answer
    x = 452,753,154.97

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.