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Finding the Third Proportional to 89,894 and 197,068

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Solution

The third proportional to 89,894 and 197,068 is: 432,017.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,894 : 197,068 = 197,068 : x
  2. Step 2: Convert to fraction form
    89,894/197,068 = 197,068/x
  3. Step 3: Cross multiply
    89,894x = 197,068 × 197,068
  4. Step 4: Simplify right side
    89,894x = 38,835,796,624
  5. Step 5: Solve for x
    x = 38,835,796,624/89,894
  6. Step 6: Final answer
    x = 432,017.67

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.