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Finding the Third Proportional to 93,129.75 and 197,354.25

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Solution

The third proportional to 93,129.75 and 197,354.25 is: 418,219.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,129.75 : 197,354.25 = 197,354.25 : x
  2. Step 2: Convert to fraction form
    93,129.75/197,354.25 = 197,354.25/x
  3. Step 3: Cross multiply
    93,129.75x = 197,354.25 × 197,354.25
  4. Step 4: Simplify right side
    93,129.75x = 38,948,699,993.06
  5. Step 5: Solve for x
    x = 38,948,699,993.06/93,129.75
  6. Step 6: Final answer
    x = 418,219.74

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.