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Finding the Third Proportional to 99,896 and 212,506

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Solution

The third proportional to 99,896 and 212,506 is: 452,058.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,896 : 212,506 = 212,506 : x
  2. Step 2: Convert to fraction form
    99,896/212,506 = 212,506/x
  3. Step 3: Cross multiply
    99,896x = 212,506 × 212,506
  4. Step 4: Simplify right side
    99,896x = 45,158,800,036
  5. Step 5: Solve for x
    x = 45,158,800,036/99,896
  6. Step 6: Final answer
    x = 452,058.14

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.