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Finding the Third Proportional to 96,430.50 and 144,551.25

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Solution

The third proportional to 96,430.50 and 144,551.25 is: 216,685.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,430.50 : 144,551.25 = 144,551.25 : x
  2. Step 2: Convert to fraction form
    96,430.50/144,551.25 = 144,551.25/x
  3. Step 3: Cross multiply
    96,430.50x = 144,551.25 × 144,551.25
  4. Step 4: Simplify right side
    96,430.50x = 20,895,063,876.56
  5. Step 5: Solve for x
    x = 20,895,063,876.56/96,430.50
  6. Step 6: Final answer
    x = 216,685.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.