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Finding the Third Proportional to 45,758.44 and 83,923.13

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Solution

The third proportional to 45,758.44 and 83,923.13 is: 153,918.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,758.44 : 83,923.13 = 83,923.13 : x
  2. Step 2: Convert to fraction form
    45,758.44/83,923.13 = 83,923.13/x
  3. Step 3: Cross multiply
    45,758.44x = 83,923.13 × 83,923.13
  4. Step 4: Simplify right side
    45,758.44x = 7,043,090,909.77
  5. Step 5: Solve for x
    x = 7,043,090,909.77/45,758.44
  6. Step 6: Final answer
    x = 153,918.96

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Why These Related Problems?

These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.