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Finding the Third Proportional to 96,717.38 and 147,853.69

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Solution

The third proportional to 96,717.38 and 147,853.69 is: 226,026.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,717.38 : 147,853.69 = 147,853.69 : x
  2. Step 2: Convert to fraction form
    96,717.38/147,853.69 = 147,853.69/x
  3. Step 3: Cross multiply
    96,717.38x = 147,853.69 × 147,853.69
  4. Step 4: Simplify right side
    96,717.38x = 21,860,712,907.35
  5. Step 5: Solve for x
    x = 21,860,712,907.35/96,717.38
  6. Step 6: Final answer
    x = 226,026.74

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.