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Finding the Third Proportional to 96,776 and 208,382.88

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Solution

The third proportional to 96,776 and 208,382.88 is: 448,700.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,776 : 208,382.88 = 208,382.88 : x
  2. Step 2: Convert to fraction form
    96,776/208,382.88 = 208,382.88/x
  3. Step 3: Cross multiply
    96,776x = 208,382.88 × 208,382.88
  4. Step 4: Simplify right side
    96,776x = 43,423,422,593.27
  5. Step 5: Solve for x
    x = 43,423,422,593.27/96,776
  6. Step 6: Final answer
    x = 448,700.32

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.