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Finding the Third Proportional to 45,326 and 98,438

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Solution

The third proportional to 45,326 and 98,438 is: 213,785.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,326 : 98,438 = 98,438 : x
  2. Step 2: Convert to fraction form
    45,326/98,438 = 98,438/x
  3. Step 3: Cross multiply
    45,326x = 98,438 × 98,438
  4. Step 4: Simplify right side
    45,326x = 9,690,039,844
  5. Step 5: Solve for x
    x = 9,690,039,844/45,326
  6. Step 6: Final answer
    x = 213,785.46

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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.