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Finding the Third Proportional to 147,872,104 and 329,744,720

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Solution

The third proportional to 147,872,104 and 329,744,720 is: 735,308,265.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,872,104 : 329,744,720 = 329,744,720 : x
  2. Step 2: Convert to fraction form
    147,872,104/329,744,720 = 329,744,720/x
  3. Step 3: Cross multiply
    147,872,104x = 329,744,720 × 329,744,720
  4. Step 4: Simplify right side
    147,872,104x = 108,731,580,367,878,400
  5. Step 5: Solve for x
    x = 108,731,580,367,878,400/147,872,104
  6. Step 6: Final answer
    x = 735,308,265.90

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.