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Finding the Third Proportional to 94,878.21 and 146,853.63

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Solution

The third proportional to 94,878.21 and 146,853.63 is: 227,301.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,878.21 : 146,853.63 = 146,853.63 : x
  2. Step 2: Convert to fraction form
    94,878.21/146,853.63 = 146,853.63/x
  3. Step 3: Cross multiply
    94,878.21x = 146,853.63 × 146,853.63
  4. Step 4: Simplify right side
    94,878.21x = 21,565,989,470.23
  5. Step 5: Solve for x
    x = 21,565,989,470.23/94,878.21
  6. Step 6: Final answer
    x = 227,301.81

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.