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Finding the Third Proportional to 192,298,864.50 and 391,393,689.75

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Solution

The third proportional to 192,298,864.50 and 391,393,689.75 is: 796,619,474.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,298,864.50 : 391,393,689.75 = 391,393,689.75 : x
  2. Step 2: Convert to fraction form
    192,298,864.50/391,393,689.75 = 391,393,689.75/x
  3. Step 3: Cross multiply
    192,298,864.50x = 391,393,689.75 × 391,393,689.75
  4. Step 4: Simplify right side
    192,298,864.50x = 153,189,020,376,119,264
  5. Step 5: Solve for x
    x = 153,189,020,376,119,264/192,298,864.50
  6. Step 6: Final answer
    x = 796,619,474.45

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.