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Finding the Third Proportional to 93,544.03 and 205,772.91

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Solution

The third proportional to 93,544.03 and 205,772.91 is: 452,647.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,544.03 : 205,772.91 = 205,772.91 : x
  2. Step 2: Convert to fraction form
    93,544.03/205,772.91 = 205,772.91/x
  3. Step 3: Cross multiply
    93,544.03x = 205,772.91 × 205,772.91
  4. Step 4: Simplify right side
    93,544.03x = 42,342,488,946.57
  5. Step 5: Solve for x
    x = 42,342,488,946.57/93,544.03
  6. Step 6: Final answer
    x = 452,647.68

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.