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Finding the Third Proportional to 92,331.19 and 198,455.06

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Solution

The third proportional to 92,331.19 and 198,455.06 is: 426,555.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,331.19 : 198,455.06 = 198,455.06 : x
  2. Step 2: Convert to fraction form
    92,331.19/198,455.06 = 198,455.06/x
  3. Step 3: Cross multiply
    92,331.19x = 198,455.06 × 198,455.06
  4. Step 4: Simplify right side
    92,331.19x = 39,384,411,831.88
  5. Step 5: Solve for x
    x = 39,384,411,831.88/92,331.19
  6. Step 6: Final answer
    x = 426,555.89

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.