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Finding the Third Proportional to 45,446.63 and 98,152.88

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Solution

The third proportional to 45,446.63 and 98,152.88 is: 211,984.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,446.63 : 98,152.88 = 98,152.88 : x
  2. Step 2: Convert to fraction form
    45,446.63/98,152.88 = 98,152.88/x
  3. Step 3: Cross multiply
    45,446.63x = 98,152.88 × 98,152.88
  4. Step 4: Simplify right side
    45,446.63x = 9,633,986,870.77
  5. Step 5: Solve for x
    x = 9,633,986,870.77/45,446.63
  6. Step 6: Final answer
    x = 211,984.65

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.