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Finding the Third Proportional to 86,478.75 and 189,360

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Solution

The third proportional to 86,478.75 and 189,360 is: 414,636.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,478.75 : 189,360 = 189,360 : x
  2. Step 2: Convert to fraction form
    86,478.75/189,360 = 189,360/x
  3. Step 3: Cross multiply
    86,478.75x = 189,360 × 189,360
  4. Step 4: Simplify right side
    86,478.75x = 35,857,209,600
  5. Step 5: Solve for x
    x = 35,857,209,600/86,478.75
  6. Step 6: Final answer
    x = 414,636.08

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.