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Finding the Third Proportional to 145,891.13 and 214,098.19

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Solution

The third proportional to 145,891.13 and 214,098.19 is: 314,193.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,891.13 : 214,098.19 = 214,098.19 : x
  2. Step 2: Convert to fraction form
    145,891.13/214,098.19 = 214,098.19/x
  3. Step 3: Cross multiply
    145,891.13x = 214,098.19 × 214,098.19
  4. Step 4: Simplify right side
    145,891.13x = 45,838,033,890.79
  5. Step 5: Solve for x
    x = 45,838,033,890.79/145,891.13
  6. Step 6: Final answer
    x = 314,193.44

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.