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Finding the Third Proportional to 99,633 and 210,534

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Solution

The third proportional to 99,633 and 210,534 is: 444,878.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,633 : 210,534 = 210,534 : x
  2. Step 2: Convert to fraction form
    99,633/210,534 = 210,534/x
  3. Step 3: Cross multiply
    99,633x = 210,534 × 210,534
  4. Step 4: Simplify right side
    99,633x = 44,324,565,156
  5. Step 5: Solve for x
    x = 44,324,565,156/99,633
  6. Step 6: Final answer
    x = 444,878.36

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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.