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Finding the Third Proportional to 88,066 and 189,956

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Solution

The third proportional to 88,066 and 189,956 is: 409,730.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,066 : 189,956 = 189,956 : x
  2. Step 2: Convert to fraction form
    88,066/189,956 = 189,956/x
  3. Step 3: Cross multiply
    88,066x = 189,956 × 189,956
  4. Step 4: Simplify right side
    88,066x = 36,083,281,936
  5. Step 5: Solve for x
    x = 36,083,281,936/88,066
  6. Step 6: Final answer
    x = 409,730.00

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.