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Finding the Third Proportional to 86,889.50 and 190,386.50

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Solution

The third proportional to 86,889.50 and 190,386.50 is: 417,162.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,889.50 : 190,386.50 = 190,386.50 : x
  2. Step 2: Convert to fraction form
    86,889.50/190,386.50 = 190,386.50/x
  3. Step 3: Cross multiply
    86,889.50x = 190,386.50 × 190,386.50
  4. Step 4: Simplify right side
    86,889.50x = 36,247,019,382.25
  5. Step 5: Solve for x
    x = 36,247,019,382.25/86,889.50
  6. Step 6: Final answer
    x = 417,162.25

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Why These Related Problems?

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