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Finding the Third Proportional to 45,592.88 and 100,389.38

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Solution

The third proportional to 45,592.88 and 100,389.38 is: 221,043.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,592.88 : 100,389.38 = 100,389.38 : x
  2. Step 2: Convert to fraction form
    45,592.88/100,389.38 = 100,389.38/x
  3. Step 3: Cross multiply
    45,592.88x = 100,389.38 × 100,389.38
  4. Step 4: Simplify right side
    45,592.88x = 10,078,026,612.89
  5. Step 5: Solve for x
    x = 10,078,026,612.89/45,592.88
  6. Step 6: Final answer
    x = 221,043.89

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.