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Finding the Third Proportional to 84,885.19 and 185,320.69

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Solution

The third proportional to 84,885.19 and 185,320.69 is: 404,590.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,885.19 : 185,320.69 = 185,320.69 : x
  2. Step 2: Convert to fraction form
    84,885.19/185,320.69 = 185,320.69/x
  3. Step 3: Cross multiply
    84,885.19x = 185,320.69 × 185,320.69
  4. Step 4: Simplify right side
    84,885.19x = 34,343,757,215.47
  5. Step 5: Solve for x
    x = 34,343,757,215.47/84,885.19
  6. Step 6: Final answer
    x = 404,590.70

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.