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Finding the Third Proportional to 45,918 and 97,348

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Solution

The third proportional to 45,918 and 97,348 is: 206,381.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,918 : 97,348 = 97,348 : x
  2. Step 2: Convert to fraction form
    45,918/97,348 = 97,348/x
  3. Step 3: Cross multiply
    45,918x = 97,348 × 97,348
  4. Step 4: Simplify right side
    45,918x = 9,476,633,104
  5. Step 5: Solve for x
    x = 9,476,633,104/45,918
  6. Step 6: Final answer
    x = 206,381.66

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