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Finding the Third Proportional to 88,389 and 190,959

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Solution

The third proportional to 88,389 and 190,959 is: 412,555.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,389 : 190,959 = 190,959 : x
  2. Step 2: Convert to fraction form
    88,389/190,959 = 190,959/x
  3. Step 3: Cross multiply
    88,389x = 190,959 × 190,959
  4. Step 4: Simplify right side
    88,389x = 36,465,339,681
  5. Step 5: Solve for x
    x = 36,465,339,681/88,389
  6. Step 6: Final answer
    x = 412,555.18

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.