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Finding the Third Proportional to 104,779.13 and 214,400.25

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Solution

The third proportional to 104,779.13 and 214,400.25 is: 438,708.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,779.13 : 214,400.25 = 214,400.25 : x
  2. Step 2: Convert to fraction form
    104,779.13/214,400.25 = 214,400.25/x
  3. Step 3: Cross multiply
    104,779.13x = 214,400.25 × 214,400.25
  4. Step 4: Simplify right side
    104,779.13x = 45,967,467,200.06
  5. Step 5: Solve for x
    x = 45,967,467,200.06/104,779.13
  6. Step 6: Final answer
    x = 438,708.26

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1.5x scale

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.