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Finding the Third Proportional to 46,052.25 and 98,830.88

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Solution

The third proportional to 46,052.25 and 98,830.88 is: 212,096.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,052.25 : 98,830.88 = 98,830.88 : x
  2. Step 2: Convert to fraction form
    46,052.25/98,830.88 = 98,830.88/x
  3. Step 3: Cross multiply
    46,052.25x = 98,830.88 × 98,830.88
  4. Step 4: Simplify right side
    46,052.25x = 9,767,541,853.27
  5. Step 5: Solve for x
    x = 9,767,541,853.27/46,052.25
  6. Step 6: Final answer
    x = 212,096.95

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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.