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Finding the Third Proportional to 101,883.45 and 221,271.43

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Solution

The third proportional to 101,883.45 and 221,271.43 is: 480,559.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,883.45 : 221,271.43 = 221,271.43 : x
  2. Step 2: Convert to fraction form
    101,883.45/221,271.43 = 221,271.43/x
  3. Step 3: Cross multiply
    101,883.45x = 221,271.43 × 221,271.43
  4. Step 4: Simplify right side
    101,883.45x = 48,961,047,324.63
  5. Step 5: Solve for x
    x = 48,961,047,324.63/101,883.45
  6. Step 6: Final answer
    x = 480,559.40

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.