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Finding the Third Proportional to 186,715.13 and 405,043.03

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Solution

The third proportional to 186,715.13 and 405,043.03 is: 878,663.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,715.13 : 405,043.03 = 405,043.03 : x
  2. Step 2: Convert to fraction form
    186,715.13/405,043.03 = 405,043.03/x
  3. Step 3: Cross multiply
    186,715.13x = 405,043.03 × 405,043.03
  4. Step 4: Simplify right side
    186,715.13x = 164,059,857,164.19
  5. Step 5: Solve for x
    x = 164,059,857,164.19/186,715.13
  6. Step 6: Final answer
    x = 878,663.99

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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.