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Finding the Third Proportional to 50,459.63 and 106,147.13

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Solution

The third proportional to 50,459.63 and 106,147.13 is: 223,291.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,459.63 : 106,147.13 = 106,147.13 : x
  2. Step 2: Convert to fraction form
    50,459.63/106,147.13 = 106,147.13/x
  3. Step 3: Cross multiply
    50,459.63x = 106,147.13 × 106,147.13
  4. Step 4: Simplify right side
    50,459.63x = 11,267,212,145.77
  5. Step 5: Solve for x
    x = 11,267,212,145.77/50,459.63
  6. Step 6: Final answer
    x = 223,291.63

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.