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Finding the Third Proportional to 44,647.88 and 92,377.13

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Solution

The third proportional to 44,647.88 and 92,377.13 is: 191,129.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,647.88 : 92,377.13 = 92,377.13 : x
  2. Step 2: Convert to fraction form
    44,647.88/92,377.13 = 92,377.13/x
  3. Step 3: Cross multiply
    44,647.88x = 92,377.13 × 92,377.13
  4. Step 4: Simplify right side
    44,647.88x = 8,533,533,223.27
  5. Step 5: Solve for x
    x = 8,533,533,223.27/44,647.88
  6. Step 6: Final answer
    x = 191,129.66

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.