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Finding the Third Proportional to 93,706.88 and 204,545.25

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Solution

The third proportional to 93,706.88 and 204,545.25 is: 446,485.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,706.88 : 204,545.25 = 204,545.25 : x
  2. Step 2: Convert to fraction form
    93,706.88/204,545.25 = 204,545.25/x
  3. Step 3: Cross multiply
    93,706.88x = 204,545.25 × 204,545.25
  4. Step 4: Simplify right side
    93,706.88x = 41,838,759,297.56
  5. Step 5: Solve for x
    x = 41,838,759,297.56/93,706.88
  6. Step 6: Final answer
    x = 446,485.48

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.