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Finding the Third Proportional to 147,872,100 and 329,744,712

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Solution

The third proportional to 147,872,100 and 329,744,712 is: 735,308,250.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,872,100 : 329,744,712 = 329,744,712 : x
  2. Step 2: Convert to fraction form
    147,872,100/329,744,712 = 329,744,712/x
  3. Step 3: Cross multiply
    147,872,100x = 329,744,712 × 329,744,712
  4. Step 4: Simplify right side
    147,872,100x = 108,731,575,091,962,944
  5. Step 5: Solve for x
    x = 108,731,575,091,962,944/147,872,100
  6. Step 6: Final answer
    x = 735,308,250.12

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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.