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Finding the Third Proportional to 88,361.35 and 190,733.17

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Solution

The third proportional to 88,361.35 and 190,733.17 is: 411,708.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,361.35 : 190,733.17 = 190,733.17 : x
  2. Step 2: Convert to fraction form
    88,361.35/190,733.17 = 190,733.17/x
  3. Step 3: Cross multiply
    88,361.35x = 190,733.17 × 190,733.17
  4. Step 4: Simplify right side
    88,361.35x = 36,379,141,363.40
  5. Step 5: Solve for x
    x = 36,379,141,363.40/88,361.35
  6. Step 6: Final answer
    x = 411,708.76

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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.