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Finding the Third Proportional to 147,727.13 and 216,347.63

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Solution

The third proportional to 147,727.13 and 216,347.63 is: 316,842.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,727.13 : 216,347.63 = 216,347.63 : x
  2. Step 2: Convert to fraction form
    147,727.13/216,347.63 = 216,347.63/x
  3. Step 3: Cross multiply
    147,727.13x = 216,347.63 × 216,347.63
  4. Step 4: Simplify right side
    147,727.13x = 46,806,294,843.14
  5. Step 5: Solve for x
    x = 46,806,294,843.14/147,727.13
  6. Step 6: Final answer
    x = 316,842.93

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.