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Finding the Third Proportional to 89,283.19 and 190,675.03

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Solution

The third proportional to 89,283.19 and 190,675.03 is: 407,209.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,283.19 : 190,675.03 = 190,675.03 : x
  2. Step 2: Convert to fraction form
    89,283.19/190,675.03 = 190,675.03/x
  3. Step 3: Cross multiply
    89,283.19x = 190,675.03 × 190,675.03
  4. Step 4: Simplify right side
    89,283.19x = 36,356,967,542.19
  5. Step 5: Solve for x
    x = 36,356,967,542.19/89,283.19
  6. Step 6: Final answer
    x = 407,209.56

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