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Finding the Third Proportional to 97,492 and 202,643

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Solution

The third proportional to 97,492 and 202,643 is: 421,205.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,492 : 202,643 = 202,643 : x
  2. Step 2: Convert to fraction form
    97,492/202,643 = 202,643/x
  3. Step 3: Cross multiply
    97,492x = 202,643 × 202,643
  4. Step 4: Simplify right side
    97,492x = 41,064,185,449
  5. Step 5: Solve for x
    x = 41,064,185,449/97,492
  6. Step 6: Final answer
    x = 421,205.69

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.