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Finding the Third Proportional to 98,293.50 and 208,342.13

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Solution

The third proportional to 98,293.50 and 208,342.13 is: 441,600.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,293.50 : 208,342.13 = 208,342.13 : x
  2. Step 2: Convert to fraction form
    98,293.50/208,342.13 = 208,342.13/x
  3. Step 3: Cross multiply
    98,293.50x = 208,342.13 × 208,342.13
  4. Step 4: Simplify right side
    98,293.50x = 43,406,441,049.52
  5. Step 5: Solve for x
    x = 43,406,441,049.52/98,293.50
  6. Step 6: Final answer
    x = 441,600.32

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.