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Finding the Third Proportional to 99,298 and 212,810

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Solution

The third proportional to 99,298 and 212,810 is: 456,082.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,298 : 212,810 = 212,810 : x
  2. Step 2: Convert to fraction form
    99,298/212,810 = 212,810/x
  3. Step 3: Cross multiply
    99,298x = 212,810 × 212,810
  4. Step 4: Simplify right side
    99,298x = 45,288,096,100
  5. Step 5: Solve for x
    x = 45,288,096,100/99,298
  6. Step 6: Final answer
    x = 456,082.66

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.