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Finding the Third Proportional to 93,908.75 and 208,814.50

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Solution

The third proportional to 93,908.75 and 208,814.50 is: 464,317.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,908.75 : 208,814.50 = 208,814.50 : x
  2. Step 2: Convert to fraction form
    93,908.75/208,814.50 = 208,814.50/x
  3. Step 3: Cross multiply
    93,908.75x = 208,814.50 × 208,814.50
  4. Step 4: Simplify right side
    93,908.75x = 43,603,495,410.25
  5. Step 5: Solve for x
    x = 43,603,495,410.25/93,908.75
  6. Step 6: Final answer
    x = 464,317.71

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.