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Finding the Third Proportional to 97,496 and 210,536

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Solution

The third proportional to 97,496 and 210,536 is: 454,638.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,496 : 210,536 = 210,536 : x
  2. Step 2: Convert to fraction form
    97,496/210,536 = 210,536/x
  3. Step 3: Cross multiply
    97,496x = 210,536 × 210,536
  4. Step 4: Simplify right side
    97,496x = 44,325,407,296
  5. Step 5: Solve for x
    x = 44,325,407,296/97,496
  6. Step 6: Final answer
    x = 454,638.21

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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.