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Finding the Third Proportional to 64,471.13 and 140,150.63

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Solution

The third proportional to 64,471.13 and 140,150.63 is: 304,666.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,471.13 : 140,150.63 = 140,150.63 : x
  2. Step 2: Convert to fraction form
    64,471.13/140,150.63 = 140,150.63/x
  3. Step 3: Cross multiply
    64,471.13x = 140,150.63 × 140,150.63
  4. Step 4: Simplify right side
    64,471.13x = 19,642,197,687.89
  5. Step 5: Solve for x
    x = 19,642,197,687.89/64,471.13
  6. Step 6: Final answer
    x = 304,666.59

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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.