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Finding the Third Proportional to 90,582.19 and 196,772.06

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Solution

The third proportional to 90,582.19 and 196,772.06 is: 427,448.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,582.19 : 196,772.06 = 196,772.06 : x
  2. Step 2: Convert to fraction form
    90,582.19/196,772.06 = 196,772.06/x
  3. Step 3: Cross multiply
    90,582.19x = 196,772.06 × 196,772.06
  4. Step 4: Simplify right side
    90,582.19x = 38,719,244,580.50
  5. Step 5: Solve for x
    x = 38,719,244,580.50/90,582.19
  6. Step 6: Final answer
    x = 427,448.77

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.