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Finding the Third Proportional to 97,448 and 210,439

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Solution

The third proportional to 97,448 and 210,439 is: 454,443.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,448 : 210,439 = 210,439 : x
  2. Step 2: Convert to fraction form
    97,448/210,439 = 210,439/x
  3. Step 3: Cross multiply
    97,448x = 210,439 × 210,439
  4. Step 4: Simplify right side
    97,448x = 44,284,572,721
  5. Step 5: Solve for x
    x = 44,284,572,721/97,448
  6. Step 6: Final answer
    x = 454,443.12

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.