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Finding the Third Proportional to 93,234 and 199,284

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Solution

The third proportional to 93,234 and 199,284 is: 425,961.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,234 : 199,284 = 199,284 : x
  2. Step 2: Convert to fraction form
    93,234/199,284 = 199,284/x
  3. Step 3: Cross multiply
    93,234x = 199,284 × 199,284
  4. Step 4: Simplify right side
    93,234x = 39,714,112,656
  5. Step 5: Solve for x
    x = 39,714,112,656/93,234
  6. Step 6: Final answer
    x = 425,961.69

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.