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Finding the Third Proportional to 96,285.38 and 149,674.50

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Solution

The third proportional to 96,285.38 and 149,674.50 is: 232,667.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,285.38 : 149,674.50 = 149,674.50 : x
  2. Step 2: Convert to fraction form
    96,285.38/149,674.50 = 149,674.50/x
  3. Step 3: Cross multiply
    96,285.38x = 149,674.50 × 149,674.50
  4. Step 4: Simplify right side
    96,285.38x = 22,402,455,950.25
  5. Step 5: Solve for x
    x = 22,402,455,950.25/96,285.38
  6. Step 6: Final answer
    x = 232,667.28

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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.