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Finding the Third Proportional to 147,271.50 and 222,139.13

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Solution

The third proportional to 147,271.50 and 222,139.13 is: 335,066.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,271.50 : 222,139.13 = 222,139.13 : x
  2. Step 2: Convert to fraction form
    147,271.50/222,139.13 = 222,139.13/x
  3. Step 3: Cross multiply
    147,271.50x = 222,139.13 × 222,139.13
  4. Step 4: Simplify right side
    147,271.50x = 49,345,790,855.77
  5. Step 5: Solve for x
    x = 49,345,790,855.77/147,271.50
  6. Step 6: Final answer
    x = 335,066.80

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.