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Finding the Third Proportional to 263,005,927.50 and 418,863,324

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Solution

The third proportional to 263,005,927.50 and 418,863,324 is: 667,081,863.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,005,927.50 : 418,863,324 = 418,863,324 : x
  2. Step 2: Convert to fraction form
    263,005,927.50/418,863,324 = 418,863,324/x
  3. Step 3: Cross multiply
    263,005,927.50x = 418,863,324 × 418,863,324
  4. Step 4: Simplify right side
    263,005,927.50x = 175,446,484,192,328,960
  5. Step 5: Solve for x
    x = 175,446,484,192,328,960/263,005,927.50
  6. Step 6: Final answer
    x = 667,081,863.36

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.