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Finding the Third Proportional to 94,848.75 and 206,430.19

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Solution

The third proportional to 94,848.75 and 206,430.19 is: 449,277.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,848.75 : 206,430.19 = 206,430.19 : x
  2. Step 2: Convert to fraction form
    94,848.75/206,430.19 = 206,430.19/x
  3. Step 3: Cross multiply
    94,848.75x = 206,430.19 × 206,430.19
  4. Step 4: Simplify right side
    94,848.75x = 42,613,422,311.29
  5. Step 5: Solve for x
    x = 42,613,422,311.29/94,848.75
  6. Step 6: Final answer
    x = 449,277.64

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.