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Finding the Third Proportional to 41,970.66 and 97,465.78

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Solution

The third proportional to 41,970.66 and 97,465.78 is: 226,338.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,970.66 : 97,465.78 = 97,465.78 : x
  2. Step 2: Convert to fraction form
    41,970.66/97,465.78 = 97,465.78/x
  3. Step 3: Cross multiply
    41,970.66x = 97,465.78 × 97,465.78
  4. Step 4: Simplify right side
    41,970.66x = 9,499,578,514.67
  5. Step 5: Solve for x
    x = 9,499,578,514.67/41,970.66
  6. Step 6: Final answer
    x = 226,338.57

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.