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Finding the Third Proportional to 99,268.50 and 216,384

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Solution

The third proportional to 99,268.50 and 216,384 is: 471,670.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,268.50 : 216,384 = 216,384 : x
  2. Step 2: Convert to fraction form
    99,268.50/216,384 = 216,384/x
  3. Step 3: Cross multiply
    99,268.50x = 216,384 × 216,384
  4. Step 4: Simplify right side
    99,268.50x = 46,822,035,456
  5. Step 5: Solve for x
    x = 46,822,035,456/99,268.50
  6. Step 6: Final answer
    x = 471,670.63

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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.