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Finding the Third Proportional to 47,695.50 and 102,829.50

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Solution

The third proportional to 47,695.50 and 102,829.50 is: 221,696.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,695.50 : 102,829.50 = 102,829.50 : x
  2. Step 2: Convert to fraction form
    47,695.50/102,829.50 = 102,829.50/x
  3. Step 3: Cross multiply
    47,695.50x = 102,829.50 × 102,829.50
  4. Step 4: Simplify right side
    47,695.50x = 10,573,906,070.25
  5. Step 5: Solve for x
    x = 10,573,906,070.25/47,695.50
  6. Step 6: Final answer
    x = 221,696.09

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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.