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Finding the Third Proportional to 99,537 and 210,738

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Solution

The third proportional to 99,537 and 210,738 is: 446,170.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,537 : 210,738 = 210,738 : x
  2. Step 2: Convert to fraction form
    99,537/210,738 = 210,738/x
  3. Step 3: Cross multiply
    99,537x = 210,738 × 210,738
  4. Step 4: Simplify right side
    99,537x = 44,410,504,644
  5. Step 5: Solve for x
    x = 44,410,504,644/99,537
  6. Step 6: Final answer
    x = 446,170.82

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.