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Finding the Third Proportional to 46,226.25 and 94,637.25

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Solution

The third proportional to 46,226.25 and 94,637.25 is: 193,747.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,226.25 : 94,637.25 = 94,637.25 : x
  2. Step 2: Convert to fraction form
    46,226.25/94,637.25 = 94,637.25/x
  3. Step 3: Cross multiply
    46,226.25x = 94,637.25 × 94,637.25
  4. Step 4: Simplify right side
    46,226.25x = 8,956,209,087.56
  5. Step 5: Solve for x
    x = 8,956,209,087.56/46,226.25
  6. Step 6: Final answer
    x = 193,747.26

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.