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Finding the Third Proportional to 88,804 and 190,243

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Solution

The third proportional to 88,804 and 190,243 is: 407,553.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,804 : 190,243 = 190,243 : x
  2. Step 2: Convert to fraction form
    88,804/190,243 = 190,243/x
  3. Step 3: Cross multiply
    88,804x = 190,243 × 190,243
  4. Step 4: Simplify right side
    88,804x = 36,192,399,049
  5. Step 5: Solve for x
    x = 36,192,399,049/88,804
  6. Step 6: Final answer
    x = 407,553.70

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.