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Finding the Third Proportional to 44,830.13 and 92,288.95

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Solution

The third proportional to 44,830.13 and 92,288.95 is: 189,989.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,830.13 : 92,288.95 = 92,288.95 : x
  2. Step 2: Convert to fraction form
    44,830.13/92,288.95 = 92,288.95/x
  3. Step 3: Cross multiply
    44,830.13x = 92,288.95 × 92,288.95
  4. Step 4: Simplify right side
    44,830.13x = 8,517,250,868.91
  5. Step 5: Solve for x
    x = 8,517,250,868.91/44,830.13
  6. Step 6: Final answer
    x = 189,989.45

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.