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Finding the Third Proportional to 99,084 and 216,964

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Solution

The third proportional to 99,084 and 216,964 is: 475,085.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,084 : 216,964 = 216,964 : x
  2. Step 2: Convert to fraction form
    99,084/216,964 = 216,964/x
  3. Step 3: Cross multiply
    99,084x = 216,964 × 216,964
  4. Step 4: Simplify right side
    99,084x = 47,073,377,296
  5. Step 5: Solve for x
    x = 47,073,377,296/99,084
  6. Step 6: Final answer
    x = 475,085.56

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.