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Finding the Third Proportional to 96,463 and 149,347.50

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Solution

The third proportional to 96,463 and 149,347.50 is: 231,225.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,463 : 149,347.50 = 149,347.50 : x
  2. Step 2: Convert to fraction form
    96,463/149,347.50 = 149,347.50/x
  3. Step 3: Cross multiply
    96,463x = 149,347.50 × 149,347.50
  4. Step 4: Simplify right side
    96,463x = 22,304,675,756.25
  5. Step 5: Solve for x
    x = 22,304,675,756.25/96,463
  6. Step 6: Final answer
    x = 231,225.19

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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.