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Finding the Third Proportional to 219,160,552 and 329,029,164

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Solution

The third proportional to 219,160,552 and 329,029,164 is: 493,976,629.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,160,552 : 329,029,164 = 329,029,164 : x
  2. Step 2: Convert to fraction form
    219,160,552/329,029,164 = 329,029,164/x
  3. Step 3: Cross multiply
    219,160,552x = 329,029,164 × 329,029,164
  4. Step 4: Simplify right side
    219,160,552x = 108,260,190,762,538,896
  5. Step 5: Solve for x
    x = 108,260,190,762,538,896/219,160,552
  6. Step 6: Final answer
    x = 493,976,629.35

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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.