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Finding the Third Proportional to 45,294 and 98,816

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Solution

The third proportional to 45,294 and 98,816 is: 215,582.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,294 : 98,816 = 98,816 : x
  2. Step 2: Convert to fraction form
    45,294/98,816 = 98,816/x
  3. Step 3: Cross multiply
    45,294x = 98,816 × 98,816
  4. Step 4: Simplify right side
    45,294x = 9,764,601,856
  5. Step 5: Solve for x
    x = 9,764,601,856/45,294
  6. Step 6: Final answer
    x = 215,582.68

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.