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Finding the Third Proportional to 99,656 and 215,224

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Solution

The third proportional to 99,656 and 215,224 is: 464,812.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,656 : 215,224 = 215,224 : x
  2. Step 2: Convert to fraction form
    99,656/215,224 = 215,224/x
  3. Step 3: Cross multiply
    99,656x = 215,224 × 215,224
  4. Step 4: Simplify right side
    99,656x = 46,321,370,176
  5. Step 5: Solve for x
    x = 46,321,370,176/99,656
  6. Step 6: Final answer
    x = 464,812.66

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.