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Finding the Third Proportional to 86,047.13 and 186,392.63

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Solution

The third proportional to 86,047.13 and 186,392.63 is: 403,757.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,047.13 : 186,392.63 = 186,392.63 : x
  2. Step 2: Convert to fraction form
    86,047.13/186,392.63 = 186,392.63/x
  3. Step 3: Cross multiply
    86,047.13x = 186,392.63 × 186,392.63
  4. Step 4: Simplify right side
    86,047.13x = 34,742,210,654.39
  5. Step 5: Solve for x
    x = 34,742,210,654.39/86,047.13
  6. Step 6: Final answer
    x = 403,757.95

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.