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Finding the Third Proportional to 186,410.81 and 409,111.88

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Solution

The third proportional to 186,410.81 and 409,111.88 is: 897,869.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,410.81 : 409,111.88 = 409,111.88 : x
  2. Step 2: Convert to fraction form
    186,410.81/409,111.88 = 409,111.88/x
  3. Step 3: Cross multiply
    186,410.81x = 409,111.88 × 409,111.88
  4. Step 4: Simplify right side
    186,410.81x = 167,372,526,266.02
  5. Step 5: Solve for x
    x = 167,372,526,266.02/186,410.81
  6. Step 6: Final answer
    x = 897,869.20

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.