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Finding the Third Proportional to 45,294 and 98,364

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Solution

The third proportional to 45,294 and 98,364 is: 213,614.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,294 : 98,364 = 98,364 : x
  2. Step 2: Convert to fraction form
    45,294/98,364 = 98,364/x
  3. Step 3: Cross multiply
    45,294x = 98,364 × 98,364
  4. Step 4: Simplify right side
    45,294x = 9,675,476,496
  5. Step 5: Solve for x
    x = 9,675,476,496/45,294
  6. Step 6: Final answer
    x = 213,614.97

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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.