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Finding the Third Proportional to 219,701,805.75 and 469,981,562.63

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Solution

The third proportional to 219,701,805.75 and 469,981,562.63 is: 1,005,374,846.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,701,805.75 : 469,981,562.63 = 469,981,562.63 : x
  2. Step 2: Convert to fraction form
    219,701,805.75/469,981,562.63 = 469,981,562.63/x
  3. Step 3: Cross multiply
    219,701,805.75x = 469,981,562.63 × 469,981,562.63
  4. Step 4: Simplify right side
    219,701,805.75x = 220,882,669,207,436,800
  5. Step 5: Solve for x
    x = 220,882,669,207,436,800/219,701,805.75
  6. Step 6: Final answer
    x = 1,005,374,846.39

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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.