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Finding the Third Proportional to 103,903.50 and 227,246.50

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Solution

The third proportional to 103,903.50 and 227,246.50 is: 497,008.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,903.50 : 227,246.50 = 227,246.50 : x
  2. Step 2: Convert to fraction form
    103,903.50/227,246.50 = 227,246.50/x
  3. Step 3: Cross multiply
    103,903.50x = 227,246.50 × 227,246.50
  4. Step 4: Simplify right side
    103,903.50x = 51,640,971,762.25
  5. Step 5: Solve for x
    x = 51,640,971,762.25/103,903.50
  6. Step 6: Final answer
    x = 497,008.97

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.