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Finding the Third Proportional to 45,252.11 and 83,840.70

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Solution

The third proportional to 45,252.11 and 83,840.70 is: 155,335.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,252.11 : 83,840.70 = 83,840.70 : x
  2. Step 2: Convert to fraction form
    45,252.11/83,840.70 = 83,840.70/x
  3. Step 3: Cross multiply
    45,252.11x = 83,840.70 × 83,840.70
  4. Step 4: Simplify right side
    45,252.11x = 7,029,262,190.48
  5. Step 5: Solve for x
    x = 7,029,262,190.48/45,252.11
  6. Step 6: Final answer
    x = 155,335.58

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.