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Finding the Third Proportional to 100,762.50 and 219,945

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Solution

The third proportional to 100,762.50 and 219,945 is: 480,097.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,762.50 : 219,945 = 219,945 : x
  2. Step 2: Convert to fraction form
    100,762.50/219,945 = 219,945/x
  3. Step 3: Cross multiply
    100,762.50x = 219,945 × 219,945
  4. Step 4: Simplify right side
    100,762.50x = 48,375,803,025
  5. Step 5: Solve for x
    x = 48,375,803,025/100,762.50
  6. Step 6: Final answer
    x = 480,097.29

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.