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Finding the Third Proportional to 95,259 and 203,638.50

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Solution

The third proportional to 95,259 and 203,638.50 is: 435,325.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,259 : 203,638.50 = 203,638.50 : x
  2. Step 2: Convert to fraction form
    95,259/203,638.50 = 203,638.50/x
  3. Step 3: Cross multiply
    95,259x = 203,638.50 × 203,638.50
  4. Step 4: Simplify right side
    95,259x = 41,468,638,682.25
  5. Step 5: Solve for x
    x = 41,468,638,682.25/95,259
  6. Step 6: Final answer
    x = 435,325.15

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.