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Finding the Third Proportional to 101,893.50 and 223,470.50

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Solution

The third proportional to 101,893.50 and 223,470.50 is: 490,110.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,893.50 : 223,470.50 = 223,470.50 : x
  2. Step 2: Convert to fraction form
    101,893.50/223,470.50 = 223,470.50/x
  3. Step 3: Cross multiply
    101,893.50x = 223,470.50 × 223,470.50
  4. Step 4: Simplify right side
    101,893.50x = 49,939,064,370.25
  5. Step 5: Solve for x
    x = 49,939,064,370.25/101,893.50
  6. Step 6: Final answer
    x = 490,110.40

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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.