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Finding the Third Proportional to 86,796 and 190,210.50

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Solution

The third proportional to 86,796 and 190,210.50 is: 416,839.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,796 : 190,210.50 = 190,210.50 : x
  2. Step 2: Convert to fraction form
    86,796/190,210.50 = 190,210.50/x
  3. Step 3: Cross multiply
    86,796x = 190,210.50 × 190,210.50
  4. Step 4: Simplify right side
    86,796x = 36,180,034,310.25
  5. Step 5: Solve for x
    x = 36,180,034,310.25/86,796
  6. Step 6: Final answer
    x = 416,839.88

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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.