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Finding the Third Proportional to 46,227.38 and 98,412.47

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Solution

The third proportional to 46,227.38 and 98,412.47 is: 209,508.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,227.38 : 98,412.47 = 98,412.47 : x
  2. Step 2: Convert to fraction form
    46,227.38/98,412.47 = 98,412.47/x
  3. Step 3: Cross multiply
    46,227.38x = 98,412.47 × 98,412.47
  4. Step 4: Simplify right side
    46,227.38x = 9,685,014,005.47
  5. Step 5: Solve for x
    x = 9,685,014,005.47/46,227.38
  6. Step 6: Final answer
    x = 209,508.20

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.