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Finding the Third Proportional to 45,468 and 93,189

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Solution

The third proportional to 45,468 and 93,189 is: 190,995.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,468 : 93,189 = 93,189 : x
  2. Step 2: Convert to fraction form
    45,468/93,189 = 93,189/x
  3. Step 3: Cross multiply
    45,468x = 93,189 × 93,189
  4. Step 4: Simplify right side
    45,468x = 8,684,189,721
  5. Step 5: Solve for x
    x = 8,684,189,721/45,468
  6. Step 6: Final answer
    x = 190,995.64

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.