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Finding the Third Proportional to 96,718.50 and 210,052.13

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Solution

The third proportional to 96,718.50 and 210,052.13 is: 456,188.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,718.50 : 210,052.13 = 210,052.13 : x
  2. Step 2: Convert to fraction form
    96,718.50/210,052.13 = 210,052.13/x
  3. Step 3: Cross multiply
    96,718.50x = 210,052.13 × 210,052.13
  4. Step 4: Simplify right side
    96,718.50x = 44,121,895,217.02
  5. Step 5: Solve for x
    x = 44,121,895,217.02/96,718.50
  6. Step 6: Final answer
    x = 456,188.79

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.