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Finding the Third Proportional to 48,386.25 and 98,716.25

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Solution

The third proportional to 48,386.25 and 98,716.25 is: 201,398.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,386.25 : 98,716.25 = 98,716.25 : x
  2. Step 2: Convert to fraction form
    48,386.25/98,716.25 = 98,716.25/x
  3. Step 3: Cross multiply
    48,386.25x = 98,716.25 × 98,716.25
  4. Step 4: Simplify right side
    48,386.25x = 9,744,898,014.06
  5. Step 5: Solve for x
    x = 9,744,898,014.06/48,386.25
  6. Step 6: Final answer
    x = 201,398.08

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.