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Finding the Third Proportional to 95,205 and 205,440

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Solution

The third proportional to 95,205 and 205,440 is: 443,312.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,205 : 205,440 = 205,440 : x
  2. Step 2: Convert to fraction form
    95,205/205,440 = 205,440/x
  3. Step 3: Cross multiply
    95,205x = 205,440 × 205,440
  4. Step 4: Simplify right side
    95,205x = 42,205,593,600
  5. Step 5: Solve for x
    x = 42,205,593,600/95,205
  6. Step 6: Final answer
    x = 443,312.78

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.