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Finding the Third Proportional to 86,235 and 185,582.25

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Solution

The third proportional to 86,235 and 185,582.25 is: 399,382.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,235 : 185,582.25 = 185,582.25 : x
  2. Step 2: Convert to fraction form
    86,235/185,582.25 = 185,582.25/x
  3. Step 3: Cross multiply
    86,235x = 185,582.25 × 185,582.25
  4. Step 4: Simplify right side
    86,235x = 34,440,771,515.06
  5. Step 5: Solve for x
    x = 34,440,771,515.06/86,235
  6. Step 6: Final answer
    x = 399,382.75

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.