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Finding the Third Proportional to 93,601.50 and 214,995.75

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Solution

The third proportional to 93,601.50 and 214,995.75 is: 493,829.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,601.50 : 214,995.75 = 214,995.75 : x
  2. Step 2: Convert to fraction form
    93,601.50/214,995.75 = 214,995.75/x
  3. Step 3: Cross multiply
    93,601.50x = 214,995.75 × 214,995.75
  4. Step 4: Simplify right side
    93,601.50x = 46,223,172,518.06
  5. Step 5: Solve for x
    x = 46,223,172,518.06/93,601.50
  6. Step 6: Final answer
    x = 493,829.40

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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.