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Finding the Third Proportional to 102,257.44 and 209,471.06

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Solution

The third proportional to 102,257.44 and 209,471.06 is: 429,094.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,257.44 : 209,471.06 = 209,471.06 : x
  2. Step 2: Convert to fraction form
    102,257.44/209,471.06 = 209,471.06/x
  3. Step 3: Cross multiply
    102,257.44x = 209,471.06 × 209,471.06
  4. Step 4: Simplify right side
    102,257.44x = 43,878,126,024.88
  5. Step 5: Solve for x
    x = 43,878,126,024.88/102,257.44
  6. Step 6: Final answer
    x = 429,094.72

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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.