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Finding the Third Proportional to 93,339 and 211,295.25

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Solution

The third proportional to 93,339 and 211,295.25 is: 478,317.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,339 : 211,295.25 = 211,295.25 : x
  2. Step 2: Convert to fraction form
    93,339/211,295.25 = 211,295.25/x
  3. Step 3: Cross multiply
    93,339x = 211,295.25 × 211,295.25
  4. Step 4: Simplify right side
    93,339x = 44,645,682,672.56
  5. Step 5: Solve for x
    x = 44,645,682,672.56/93,339
  6. Step 6: Final answer
    x = 478,317.56

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.