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Finding the Third Proportional to 47,709 and 102,859.88

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Solution

The third proportional to 47,709 and 102,859.88 is: 221,764.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,709 : 102,859.88 = 102,859.88 : x
  2. Step 2: Convert to fraction form
    47,709/102,859.88 = 102,859.88/x
  3. Step 3: Cross multiply
    47,709x = 102,859.88 × 102,859.88
  4. Step 4: Simplify right side
    47,709x = 10,580,153,885.02
  5. Step 5: Solve for x
    x = 10,580,153,885.02/47,709
  6. Step 6: Final answer
    x = 221,764.32

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.