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Finding the Third Proportional to 83,095.88 and 182,806.88

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Solution

The third proportional to 83,095.88 and 182,806.88 is: 402,166.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,095.88 : 182,806.88 = 182,806.88 : x
  2. Step 2: Convert to fraction form
    83,095.88/182,806.88 = 182,806.88/x
  3. Step 3: Cross multiply
    83,095.88x = 182,806.88 × 182,806.88
  4. Step 4: Simplify right side
    83,095.88x = 33,418,353,547.27
  5. Step 5: Solve for x
    x = 33,418,353,547.27/83,095.88
  6. Step 6: Final answer
    x = 402,166.22

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.