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Finding the Third Proportional to 98,992.13 and 162,511.31

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Solution

The third proportional to 98,992.13 and 162,511.31 is: 266,788.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,992.13 : 162,511.31 = 162,511.31 : x
  2. Step 2: Convert to fraction form
    98,992.13/162,511.31 = 162,511.31/x
  3. Step 3: Cross multiply
    98,992.13x = 162,511.31 × 162,511.31
  4. Step 4: Simplify right side
    98,992.13x = 26,409,926,690.47
  5. Step 5: Solve for x
    x = 26,409,926,690.47/98,992.13
  6. Step 6: Final answer
    x = 266,788.16

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.