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Finding the Third Proportional to 93,999.66 and 216,433.69

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Solution

The third proportional to 93,999.66 and 216,433.69 is: 498,337.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,999.66 : 216,433.69 = 216,433.69 : x
  2. Step 2: Convert to fraction form
    93,999.66/216,433.69 = 216,433.69/x
  3. Step 3: Cross multiply
    93,999.66x = 216,433.69 × 216,433.69
  4. Step 4: Simplify right side
    93,999.66x = 46,843,541,084.85
  5. Step 5: Solve for x
    x = 46,843,541,084.85/93,999.66
  6. Step 6: Final answer
    x = 498,337.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.