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Finding the Third Proportional to 96,730.50 and 149,470.50

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Solution

The third proportional to 96,730.50 and 149,470.50 is: 230,965.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,730.50 : 149,470.50 = 149,470.50 : x
  2. Step 2: Convert to fraction form
    96,730.50/149,470.50 = 149,470.50/x
  3. Step 3: Cross multiply
    96,730.50x = 149,470.50 × 149,470.50
  4. Step 4: Simplify right side
    96,730.50x = 22,341,430,370.25
  5. Step 5: Solve for x
    x = 22,341,430,370.25/96,730.50
  6. Step 6: Final answer
    x = 230,965.73

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.