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Finding the Third Proportional to 90,470.25 and 183,370.50

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Solution

The third proportional to 90,470.25 and 183,370.50 is: 371,666.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,470.25 : 183,370.50 = 183,370.50 : x
  2. Step 2: Convert to fraction form
    90,470.25/183,370.50 = 183,370.50/x
  3. Step 3: Cross multiply
    90,470.25x = 183,370.50 × 183,370.50
  4. Step 4: Simplify right side
    90,470.25x = 33,624,740,270.25
  5. Step 5: Solve for x
    x = 33,624,740,270.25/90,470.25
  6. Step 6: Final answer
    x = 371,666.27

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.