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Finding the Third Proportional to 219,160,554 and 329,029,167

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Solution

The third proportional to 219,160,554 and 329,029,167 is: 493,976,633.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,160,554 : 329,029,167 = 329,029,167 : x
  2. Step 2: Convert to fraction form
    219,160,554/329,029,167 = 329,029,167/x
  3. Step 3: Cross multiply
    219,160,554x = 329,029,167 × 329,029,167
  4. Step 4: Simplify right side
    219,160,554x = 108,260,192,736,713,888
  5. Step 5: Solve for x
    x = 108,260,192,736,713,888/219,160,554
  6. Step 6: Final answer
    x = 493,976,633.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.