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Finding the Third Proportional to 93,929 and 208,115

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Solution

The third proportional to 93,929 and 208,115 is: 461,112.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,929 : 208,115 = 208,115 : x
  2. Step 2: Convert to fraction form
    93,929/208,115 = 208,115/x
  3. Step 3: Cross multiply
    93,929x = 208,115 × 208,115
  4. Step 4: Simplify right side
    93,929x = 43,311,853,225
  5. Step 5: Solve for x
    x = 43,311,853,225/93,929
  6. Step 6: Final answer
    x = 461,112.68

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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.