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Finding the Third Proportional to 92,323.13 and 146,890.13

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Solution

The third proportional to 92,323.13 and 146,890.13 is: 233,708.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,323.13 : 146,890.13 = 146,890.13 : x
  2. Step 2: Convert to fraction form
    92,323.13/146,890.13 = 146,890.13/x
  3. Step 3: Cross multiply
    92,323.13x = 146,890.13 × 146,890.13
  4. Step 4: Simplify right side
    92,323.13x = 21,576,708,822.52
  5. Step 5: Solve for x
    x = 21,576,708,822.52/92,323.13
  6. Step 6: Final answer
    x = 233,708.61

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.