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Finding the Third Proportional to 41,536.13 and 97,515.56

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Solution

The third proportional to 41,536.13 and 97,515.56 is: 228,940.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,536.13 : 97,515.56 = 97,515.56 : x
  2. Step 2: Convert to fraction form
    41,536.13/97,515.56 = 97,515.56/x
  3. Step 3: Cross multiply
    41,536.13x = 97,515.56 × 97,515.56
  4. Step 4: Simplify right side
    41,536.13x = 9,509,284,929.69
  5. Step 5: Solve for x
    x = 9,509,284,929.69/41,536.13
  6. Step 6: Final answer
    x = 228,940.11

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.