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Finding the Third Proportional to 90,897.19 and 186,305.06

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Solution

The third proportional to 90,897.19 and 186,305.06 is: 381,855.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,897.19 : 186,305.06 = 186,305.06 : x
  2. Step 2: Convert to fraction form
    90,897.19/186,305.06 = 186,305.06/x
  3. Step 3: Cross multiply
    90,897.19x = 186,305.06 × 186,305.06
  4. Step 4: Simplify right side
    90,897.19x = 34,709,576,313.13
  5. Step 5: Solve for x
    x = 34,709,576,313.13/90,897.19
  6. Step 6: Final answer
    x = 381,855.34

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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.