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Finding the Third Proportional to 94,332.38 and 140,214.66

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Solution

The third proportional to 94,332.38 and 140,214.66 is: 208,413.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,332.38 : 140,214.66 = 140,214.66 : x
  2. Step 2: Convert to fraction form
    94,332.38/140,214.66 = 140,214.66/x
  3. Step 3: Cross multiply
    94,332.38x = 140,214.66 × 140,214.66
  4. Step 4: Simplify right side
    94,332.38x = 19,660,149,827.31
  5. Step 5: Solve for x
    x = 19,660,149,827.31/94,332.38
  6. Step 6: Final answer
    x = 208,413.60

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.