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Finding the Third Proportional to 93,098.75 and 199,319

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Solution

The third proportional to 93,098.75 and 199,319 is: 426,730.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,098.75 : 199,319 = 199,319 : x
  2. Step 2: Convert to fraction form
    93,098.75/199,319 = 199,319/x
  3. Step 3: Cross multiply
    93,098.75x = 199,319 × 199,319
  4. Step 4: Simplify right side
    93,098.75x = 39,728,063,761
  5. Step 5: Solve for x
    x = 39,728,063,761/93,098.75
  6. Step 6: Final answer
    x = 426,730.37

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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.