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Finding the Third Proportional to 92,119,081.50 and 196,992,747

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Solution

The third proportional to 92,119,081.50 and 196,992,747 is: 421,260,630.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,119,081.50 : 196,992,747 = 196,992,747 : x
  2. Step 2: Convert to fraction form
    92,119,081.50/196,992,747 = 196,992,747/x
  3. Step 3: Cross multiply
    92,119,081.50x = 196,992,747 × 196,992,747
  4. Step 4: Simplify right side
    92,119,081.50x = 38,806,142,370,606,008
  5. Step 5: Solve for x
    x = 38,806,142,370,606,008/92,119,081.50
  6. Step 6: Final answer
    x = 421,260,630.68

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.