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Finding the Third Proportional to 95,821.73 and 208,421.86

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Solution

The third proportional to 95,821.73 and 208,421.86 is: 453,338.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,821.73 : 208,421.86 = 208,421.86 : x
  2. Step 2: Convert to fraction form
    95,821.73/208,421.86 = 208,421.86/x
  3. Step 3: Cross multiply
    95,821.73x = 208,421.86 × 208,421.86
  4. Step 4: Simplify right side
    95,821.73x = 43,439,671,465.33
  5. Step 5: Solve for x
    x = 43,439,671,465.33/95,821.73
  6. Step 6: Final answer
    x = 453,338.40

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.