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Finding the Third Proportional to 102,534.50 and 219,649

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Solution

The third proportional to 102,534.50 and 219,649 is: 470,531.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,534.50 : 219,649 = 219,649 : x
  2. Step 2: Convert to fraction form
    102,534.50/219,649 = 219,649/x
  3. Step 3: Cross multiply
    102,534.50x = 219,649 × 219,649
  4. Step 4: Simplify right side
    102,534.50x = 48,245,683,201
  5. Step 5: Solve for x
    x = 48,245,683,201/102,534.50
  6. Step 6: Final answer
    x = 470,531.22

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.