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Finding the Third Proportional to 85,200.19 and 179,214.19

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Solution

The third proportional to 85,200.19 and 179,214.19 is: 376,967.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,200.19 : 179,214.19 = 179,214.19 : x
  2. Step 2: Convert to fraction form
    85,200.19/179,214.19 = 179,214.19/x
  3. Step 3: Cross multiply
    85,200.19x = 179,214.19 × 179,214.19
  4. Step 4: Simplify right side
    85,200.19x = 32,117,725,001.29
  5. Step 5: Solve for x
    x = 32,117,725,001.29/85,200.19
  6. Step 6: Final answer
    x = 376,967.77

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.