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Finding the Third Proportional to 100,224 and 217,935

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Solution

The third proportional to 100,224 and 217,935 is: 473,895.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,224 : 217,935 = 217,935 : x
  2. Step 2: Convert to fraction form
    100,224/217,935 = 217,935/x
  3. Step 3: Cross multiply
    100,224x = 217,935 × 217,935
  4. Step 4: Simplify right side
    100,224x = 47,495,664,225
  5. Step 5: Solve for x
    x = 47,495,664,225/100,224
  6. Step 6: Final answer
    x = 473,895.12

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.