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Finding the Third Proportional to 103,216.38 and 145,347.38

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Solution

The third proportional to 103,216.38 and 145,347.38 is: 204,675.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,216.38 : 145,347.38 = 145,347.38 : x
  2. Step 2: Convert to fraction form
    103,216.38/145,347.38 = 145,347.38/x
  3. Step 3: Cross multiply
    103,216.38x = 145,347.38 × 145,347.38
  4. Step 4: Simplify right side
    103,216.38x = 21,125,859,419.39
  5. Step 5: Solve for x
    x = 21,125,859,419.39/103,216.38
  6. Step 6: Final answer
    x = 204,675.46

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.