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Finding the Third Proportional to 86,934.75 and 201,268.50

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Solution

The third proportional to 86,934.75 and 201,268.50 is: 465,970.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,934.75 : 201,268.50 = 201,268.50 : x
  2. Step 2: Convert to fraction form
    86,934.75/201,268.50 = 201,268.50/x
  3. Step 3: Cross multiply
    86,934.75x = 201,268.50 × 201,268.50
  4. Step 4: Simplify right side
    86,934.75x = 40,509,009,092.25
  5. Step 5: Solve for x
    x = 40,509,009,092.25/86,934.75
  6. Step 6: Final answer
    x = 465,970.27

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.