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Finding the Third Proportional to 186,927.13 and 410,043.63

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Solution

The third proportional to 186,927.13 and 410,043.63 is: 899,472.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,927.13 : 410,043.63 = 410,043.63 : x
  2. Step 2: Convert to fraction form
    186,927.13/410,043.63 = 410,043.63/x
  3. Step 3: Cross multiply
    186,927.13x = 410,043.63 × 410,043.63
  4. Step 4: Simplify right side
    186,927.13x = 168,135,774,403.14
  5. Step 5: Solve for x
    x = 168,135,774,403.14/186,927.13
  6. Step 6: Final answer
    x = 899,472.32

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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.