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Finding the Third Proportional to 65,217 and 99,196

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Solution

The third proportional to 65,217 and 99,196 is: 150,878.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,217 : 99,196 = 99,196 : x
  2. Step 2: Convert to fraction form
    65,217/99,196 = 99,196/x
  3. Step 3: Cross multiply
    65,217x = 99,196 × 99,196
  4. Step 4: Simplify right side
    65,217x = 9,839,846,416
  5. Step 5: Solve for x
    x = 9,839,846,416/65,217
  6. Step 6: Final answer
    x = 150,878.55

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.