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Finding the Third Proportional to 85,478.63 and 186,008.63

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Solution

The third proportional to 85,478.63 and 186,008.63 is: 404,770.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,478.63 : 186,008.63 = 186,008.63 : x
  2. Step 2: Convert to fraction form
    85,478.63/186,008.63 = 186,008.63/x
  3. Step 3: Cross multiply
    85,478.63x = 186,008.63 × 186,008.63
  4. Step 4: Simplify right side
    85,478.63x = 34,599,208,574.39
  5. Step 5: Solve for x
    x = 34,599,208,574.39/85,478.63
  6. Step 6: Final answer
    x = 404,770.30

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.