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Finding the Third Proportional to 219,160,584 and 329,029,212

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Solution

The third proportional to 219,160,584 and 329,029,212 is: 493,976,701.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,160,584 : 329,029,212 = 329,029,212 : x
  2. Step 2: Convert to fraction form
    219,160,584/329,029,212 = 329,029,212/x
  3. Step 3: Cross multiply
    219,160,584x = 329,029,212 × 329,029,212
  4. Step 4: Simplify right side
    219,160,584x = 108,260,222,349,340,944
  5. Step 5: Solve for x
    x = 108,260,222,349,340,944/219,160,584
  6. Step 6: Final answer
    x = 493,976,701.35

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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.