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Finding the Third Proportional to 93,881.25 and 208,752.47

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Solution

The third proportional to 93,881.25 and 208,752.47 is: 464,177.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,881.25 : 208,752.47 = 208,752.47 : x
  2. Step 2: Convert to fraction form
    93,881.25/208,752.47 = 208,752.47/x
  3. Step 3: Cross multiply
    93,881.25x = 208,752.47 × 208,752.47
  4. Step 4: Simplify right side
    93,881.25x = 43,577,593,209.22
  5. Step 5: Solve for x
    x = 43,577,593,209.22/93,881.25
  6. Step 6: Final answer
    x = 464,177.81

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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.