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Finding the Third Proportional to 90,898.50 and 186,202.50

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Solution

The third proportional to 90,898.50 and 186,202.50 is: 381,429.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,898.50 : 186,202.50 = 186,202.50 : x
  2. Step 2: Convert to fraction form
    90,898.50/186,202.50 = 186,202.50/x
  3. Step 3: Cross multiply
    90,898.50x = 186,202.50 × 186,202.50
  4. Step 4: Simplify right side
    90,898.50x = 34,671,371,006.25
  5. Step 5: Solve for x
    x = 34,671,371,006.25/90,898.50
  6. Step 6: Final answer
    x = 381,429.52

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.