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Finding the Third Proportional to 99,417.38 and 210,349.69

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Solution

The third proportional to 99,417.38 and 210,349.69 is: 445,062.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,417.38 : 210,349.69 = 210,349.69 : x
  2. Step 2: Convert to fraction form
    99,417.38/210,349.69 = 210,349.69/x
  3. Step 3: Cross multiply
    99,417.38x = 210,349.69 × 210,349.69
  4. Step 4: Simplify right side
    99,417.38x = 44,246,991,031.35
  5. Step 5: Solve for x
    x = 44,246,991,031.35/99,417.38
  6. Step 6: Final answer
    x = 445,062.96

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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.