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Finding the Third Proportional to 47,127.94 and 101,002.22

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Solution

The third proportional to 47,127.94 and 101,002.22 is: 216,462.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,127.94 : 101,002.22 = 101,002.22 : x
  2. Step 2: Convert to fraction form
    47,127.94/101,002.22 = 101,002.22/x
  3. Step 3: Cross multiply
    47,127.94x = 101,002.22 × 101,002.22
  4. Step 4: Simplify right side
    47,127.94x = 10,201,448,192.42
  5. Step 5: Solve for x
    x = 10,201,448,192.42/47,127.94
  6. Step 6: Final answer
    x = 216,462.86

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.