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Finding the Third Proportional to 93,878.68 and 208,747.44

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Solution

The third proportional to 93,878.68 and 208,747.44 is: 464,168.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,878.68 : 208,747.44 = 208,747.44 : x
  2. Step 2: Convert to fraction form
    93,878.68/208,747.44 = 208,747.44/x
  3. Step 3: Cross multiply
    93,878.68x = 208,747.44 × 208,747.44
  4. Step 4: Simplify right side
    93,878.68x = 43,575,494,293.66
  5. Step 5: Solve for x
    x = 43,575,494,293.66/93,878.68
  6. Step 6: Final answer
    x = 464,168.14

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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.