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Finding the Third Proportional to 93,972 and 197,170.50

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Solution

The third proportional to 93,972 and 197,170.50 is: 413,699.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,972 : 197,170.50 = 197,170.50 : x
  2. Step 2: Convert to fraction form
    93,972/197,170.50 = 197,170.50/x
  3. Step 3: Cross multiply
    93,972x = 197,170.50 × 197,170.50
  4. Step 4: Simplify right side
    93,972x = 38,876,206,070.25
  5. Step 5: Solve for x
    x = 38,876,206,070.25/93,972
  6. Step 6: Final answer
    x = 413,699.89

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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.