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Finding the Third Proportional to 93,660 and 221,088

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Solution

The third proportional to 93,660 and 221,088 is: 521,886.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,660 : 221,088 = 221,088 : x
  2. Step 2: Convert to fraction form
    93,660/221,088 = 221,088/x
  3. Step 3: Cross multiply
    93,660x = 221,088 × 221,088
  4. Step 4: Simplify right side
    93,660x = 48,879,903,744
  5. Step 5: Solve for x
    x = 48,879,903,744/93,660
  6. Step 6: Final answer
    x = 521,886.65

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.