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Finding the Third Proportional to 45,882 and 99,108

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Solution

The third proportional to 45,882 and 99,108 is: 214,079.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,882 : 99,108 = 99,108 : x
  2. Step 2: Convert to fraction form
    45,882/99,108 = 99,108/x
  3. Step 3: Cross multiply
    45,882x = 99,108 × 99,108
  4. Step 4: Simplify right side
    45,882x = 9,822,395,664
  5. Step 5: Solve for x
    x = 9,822,395,664/45,882
  6. Step 6: Final answer
    x = 214,079.50

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.