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Finding the Third Proportional to 96,506 and 212,643

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Solution

The third proportional to 96,506 and 212,643 is: 468,541.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,506 : 212,643 = 212,643 : x
  2. Step 2: Convert to fraction form
    96,506/212,643 = 212,643/x
  3. Step 3: Cross multiply
    96,506x = 212,643 × 212,643
  4. Step 4: Simplify right side
    96,506x = 45,217,045,449
  5. Step 5: Solve for x
    x = 45,217,045,449/96,506
  6. Step 6: Final answer
    x = 468,541.29

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.