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Finding the Third Proportional to 69,614.16 and 151,727.63

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Solution

The third proportional to 69,614.16 and 151,727.63 is: 330,698.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,614.16 : 151,727.63 = 151,727.63 : x
  2. Step 2: Convert to fraction form
    69,614.16/151,727.63 = 151,727.63/x
  3. Step 3: Cross multiply
    69,614.16x = 151,727.63 × 151,727.63
  4. Step 4: Simplify right side
    69,614.16x = 23,021,272,188.14
  5. Step 5: Solve for x
    x = 23,021,272,188.14/69,614.16
  6. Step 6: Final answer
    x = 330,698.14

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.