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Finding the Third Proportional to 83,084.64 and 181,207.05

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Solution

The third proportional to 83,084.64 and 181,207.05 is: 395,211.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,084.64 : 181,207.05 = 181,207.05 : x
  2. Step 2: Convert to fraction form
    83,084.64/181,207.05 = 181,207.05/x
  3. Step 3: Cross multiply
    83,084.64x = 181,207.05 × 181,207.05
  4. Step 4: Simplify right side
    83,084.64x = 32,835,993,483.24
  5. Step 5: Solve for x
    x = 32,835,993,483.24/83,084.64
  6. Step 6: Final answer
    x = 395,211.35

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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.