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Finding the Third Proportional to 107,802.75 and 226,779.75

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Solution

The third proportional to 107,802.75 and 226,779.75 is: 477,066.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,802.75 : 226,779.75 = 226,779.75 : x
  2. Step 2: Convert to fraction form
    107,802.75/226,779.75 = 226,779.75/x
  3. Step 3: Cross multiply
    107,802.75x = 226,779.75 × 226,779.75
  4. Step 4: Simplify right side
    107,802.75x = 51,429,055,010.06
  5. Step 5: Solve for x
    x = 51,429,055,010.06/107,802.75
  6. Step 6: Final answer
    x = 477,066.26

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.