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Finding the Third Proportional to 45,225.84 and 99,473.06

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Solution

The third proportional to 45,225.84 and 99,473.06 is: 218,788.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,225.84 : 99,473.06 = 99,473.06 : x
  2. Step 2: Convert to fraction form
    45,225.84/99,473.06 = 99,473.06/x
  3. Step 3: Cross multiply
    45,225.84x = 99,473.06 × 99,473.06
  4. Step 4: Simplify right side
    45,225.84x = 9,894,890,163.13
  5. Step 5: Solve for x
    x = 9,894,890,163.13/45,225.84
  6. Step 6: Final answer
    x = 218,788.40

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.