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Finding the Third Proportional to 44,205 and 95,468

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Solution

The third proportional to 44,205 and 95,468 is: 206,178.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,205 : 95,468 = 95,468 : x
  2. Step 2: Convert to fraction form
    44,205/95,468 = 95,468/x
  3. Step 3: Cross multiply
    44,205x = 95,468 × 95,468
  4. Step 4: Simplify right side
    44,205x = 9,114,139,024
  5. Step 5: Solve for x
    x = 9,114,139,024/44,205
  6. Step 6: Final answer
    x = 206,178.92

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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.