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Finding the Third Proportional to 92,841.19 and 202,312.69

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Solution

The third proportional to 92,841.19 and 202,312.69 is: 440,864.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,841.19 : 202,312.69 = 202,312.69 : x
  2. Step 2: Convert to fraction form
    92,841.19/202,312.69 = 202,312.69/x
  3. Step 3: Cross multiply
    92,841.19x = 202,312.69 × 202,312.69
  4. Step 4: Simplify right side
    92,841.19x = 40,930,423,523.47
  5. Step 5: Solve for x
    x = 40,930,423,523.47/92,841.19
  6. Step 6: Final answer
    x = 440,864.93

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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.