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Finding the Third Proportional to 80,083,674 and 172,239,588

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Solution

The third proportional to 80,083,674 and 172,239,588 is: 370,443,489.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,083,674 : 172,239,588 = 172,239,588 : x
  2. Step 2: Convert to fraction form
    80,083,674/172,239,588 = 172,239,588/x
  3. Step 3: Cross multiply
    80,083,674x = 172,239,588 × 172,239,588
  4. Step 4: Simplify right side
    80,083,674x = 29,666,475,674,409,744
  5. Step 5: Solve for x
    x = 29,666,475,674,409,744/80,083,674
  6. Step 6: Final answer
    x = 370,443,489.82

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.