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Finding the Third Proportional to 87,302.81 and 190,598.06

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Solution

The third proportional to 87,302.81 and 190,598.06 is: 416,110.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,302.81 : 190,598.06 = 190,598.06 : x
  2. Step 2: Convert to fraction form
    87,302.81/190,598.06 = 190,598.06/x
  3. Step 3: Cross multiply
    87,302.81x = 190,598.06 × 190,598.06
  4. Step 4: Simplify right side
    87,302.81x = 36,327,621,428.75
  5. Step 5: Solve for x
    x = 36,327,621,428.75/87,302.81
  6. Step 6: Final answer
    x = 416,110.55

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Why These Related Problems?

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