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Finding the Third Proportional to 99,240 and 216,300

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Solution

The third proportional to 99,240 and 216,300 is: 471,439.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,240 : 216,300 = 216,300 : x
  2. Step 2: Convert to fraction form
    99,240/216,300 = 216,300/x
  3. Step 3: Cross multiply
    99,240x = 216,300 × 216,300
  4. Step 4: Simplify right side
    99,240x = 46,785,690,000
  5. Step 5: Solve for x
    x = 46,785,690,000/99,240
  6. Step 6: Final answer
    x = 471,439.84

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.