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Finding the Third Proportional to 93,603 and 214,999.50

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Solution

The third proportional to 93,603 and 214,999.50 is: 493,838.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,603 : 214,999.50 = 214,999.50 : x
  2. Step 2: Convert to fraction form
    93,603/214,999.50 = 214,999.50/x
  3. Step 3: Cross multiply
    93,603x = 214,999.50 × 214,999.50
  4. Step 4: Simplify right side
    93,603x = 46,224,785,000.25
  5. Step 5: Solve for x
    x = 46,224,785,000.25/93,603
  6. Step 6: Final answer
    x = 493,838.71

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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.