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Finding the Third Proportional to 45,680.84 and 70,304.20

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Solution

The third proportional to 45,680.84 and 70,304.20 is: 108,200.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,680.84 : 70,304.20 = 70,304.20 : x
  2. Step 2: Convert to fraction form
    45,680.84/70,304.20 = 70,304.20/x
  3. Step 3: Cross multiply
    45,680.84x = 70,304.20 × 70,304.20
  4. Step 4: Simplify right side
    45,680.84x = 4,942,680,977.04
  5. Step 5: Solve for x
    x = 4,942,680,977.04/45,680.84
  6. Step 6: Final answer
    x = 108,200.32

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.