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Finding the Third Proportional to 93,098.25 and 199,317.94

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Solution

The third proportional to 93,098.25 and 199,317.94 is: 426,728.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,098.25 : 199,317.94 = 199,317.94 : x
  2. Step 2: Convert to fraction form
    93,098.25/199,317.94 = 199,317.94/x
  3. Step 3: Cross multiply
    93,098.25x = 199,317.94 × 199,317.94
  4. Step 4: Simplify right side
    93,098.25x = 39,727,640,209.25
  5. Step 5: Solve for x
    x = 39,727,640,209.25/93,098.25
  6. Step 6: Final answer
    x = 426,728.11

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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.