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Finding the Third Proportional to 107,967.94 and 235,588.50

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Solution

The third proportional to 107,967.94 and 235,588.50 is: 514,059.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,967.94 : 235,588.50 = 235,588.50 : x
  2. Step 2: Convert to fraction form
    107,967.94/235,588.50 = 235,588.50/x
  3. Step 3: Cross multiply
    107,967.94x = 235,588.50 × 235,588.50
  4. Step 4: Simplify right side
    107,967.94x = 55,501,941,332.25
  5. Step 5: Solve for x
    x = 55,501,941,332.25/107,967.94
  6. Step 6: Final answer
    x = 514,059.48

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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.