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Finding the Third Proportional to 95,865.19 and 148,285.69

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Solution

The third proportional to 95,865.19 and 148,285.69 is: 229,370.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,865.19 : 148,285.69 = 148,285.69 : x
  2. Step 2: Convert to fraction form
    95,865.19/148,285.69 = 148,285.69/x
  3. Step 3: Cross multiply
    95,865.19x = 148,285.69 × 148,285.69
  4. Step 4: Simplify right side
    95,865.19x = 21,988,645,117.35
  5. Step 5: Solve for x
    x = 21,988,645,117.35/95,865.19
  6. Step 6: Final answer
    x = 229,370.49

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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.