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Finding the Third Proportional to 102,282.12 and 217,492.59

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Solution

The third proportional to 102,282.12 and 217,492.59 is: 462,476.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,282.12 : 217,492.59 = 217,492.59 : x
  2. Step 2: Convert to fraction form
    102,282.12/217,492.59 = 217,492.59/x
  3. Step 3: Cross multiply
    102,282.12x = 217,492.59 × 217,492.59
  4. Step 4: Simplify right side
    102,282.12x = 47,303,028,336.10
  5. Step 5: Solve for x
    x = 47,303,028,336.10/102,282.12
  6. Step 6: Final answer
    x = 462,476.04

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.