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Finding the Third Proportional to 99,644 and 210,536

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Solution

The third proportional to 99,644 and 210,536 is: 444,837.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,644 : 210,536 = 210,536 : x
  2. Step 2: Convert to fraction form
    99,644/210,536 = 210,536/x
  3. Step 3: Cross multiply
    99,644x = 210,536 × 210,536
  4. Step 4: Simplify right side
    99,644x = 44,325,407,296
  5. Step 5: Solve for x
    x = 44,325,407,296/99,644
  6. Step 6: Final answer
    x = 444,837.70

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.