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Finding the Third Proportional to 95,218.50 and 208,773

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Solution

The third proportional to 95,218.50 and 208,773 is: 457,748.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,218.50 : 208,773 = 208,773 : x
  2. Step 2: Convert to fraction form
    95,218.50/208,773 = 208,773/x
  3. Step 3: Cross multiply
    95,218.50x = 208,773 × 208,773
  4. Step 4: Simplify right side
    95,218.50x = 43,586,165,529
  5. Step 5: Solve for x
    x = 43,586,165,529/95,218.50
  6. Step 6: Final answer
    x = 457,748.92

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.