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Finding the Third Proportional to 80,359,953.75 and 174,419,275.50

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Solution

The third proportional to 80,359,953.75 and 174,419,275.50 is: 378,572,687.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,359,953.75 : 174,419,275.50 = 174,419,275.50 : x
  2. Step 2: Convert to fraction form
    80,359,953.75/174,419,275.50 = 174,419,275.50/x
  3. Step 3: Cross multiply
    80,359,953.75x = 174,419,275.50 × 174,419,275.50
  4. Step 4: Simplify right side
    80,359,953.75x = 30,422,083,665,944,900
  5. Step 5: Solve for x
    x = 30,422,083,665,944,900/80,359,953.75
  6. Step 6: Final answer
    x = 378,572,687.59

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.