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Finding the Third Proportional to 92,130.75 and 200,937.38

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Solution

The third proportional to 92,130.75 and 200,937.38 is: 438,244.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,130.75 : 200,937.38 = 200,937.38 : x
  2. Step 2: Convert to fraction form
    92,130.75/200,937.38 = 200,937.38/x
  3. Step 3: Cross multiply
    92,130.75x = 200,937.38 × 200,937.38
  4. Step 4: Simplify right side
    92,130.75x = 40,375,828,671.89
  5. Step 5: Solve for x
    x = 40,375,828,671.89/92,130.75
  6. Step 6: Final answer
    x = 438,244.87

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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.