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Finding the Third Proportional to 107,053.88 and 233,842.50

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Solution

The third proportional to 107,053.88 and 233,842.50 is: 510,792.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,053.88 : 233,842.50 = 233,842.50 : x
  2. Step 2: Convert to fraction form
    107,053.88/233,842.50 = 233,842.50/x
  3. Step 3: Cross multiply
    107,053.88x = 233,842.50 × 233,842.50
  4. Step 4: Simplify right side
    107,053.88x = 54,682,314,806.25
  5. Step 5: Solve for x
    x = 54,682,314,806.25/107,053.88
  6. Step 6: Final answer
    x = 510,792.48

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