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Finding the Third Proportional to 40,877.16 and 88,216.59

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Solution

The third proportional to 40,877.16 and 88,216.59 is: 190,379.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,877.16 : 88,216.59 = 88,216.59 : x
  2. Step 2: Convert to fraction form
    40,877.16/88,216.59 = 88,216.59/x
  3. Step 3: Cross multiply
    40,877.16x = 88,216.59 × 88,216.59
  4. Step 4: Simplify right side
    40,877.16x = 7,782,167,412.85
  5. Step 5: Solve for x
    x = 7,782,167,412.85/40,877.16
  6. Step 6: Final answer
    x = 190,379.37

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.