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Finding the Third Proportional to 93,691.50 and 197,173.50

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Solution

The third proportional to 93,691.50 and 197,173.50 is: 414,951.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,691.50 : 197,173.50 = 197,173.50 : x
  2. Step 2: Convert to fraction form
    93,691.50/197,173.50 = 197,173.50/x
  3. Step 3: Cross multiply
    93,691.50x = 197,173.50 × 197,173.50
  4. Step 4: Simplify right side
    93,691.50x = 38,877,389,102.25
  5. Step 5: Solve for x
    x = 38,877,389,102.25/93,691.50
  6. Step 6: Final answer
    x = 414,951.08

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.