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Finding the Third Proportional to 96,044,913 and 210,303,162

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Solution

The third proportional to 96,044,913 and 210,303,162 is: 460,486,855.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,044,913 : 210,303,162 = 210,303,162 : x
  2. Step 2: Convert to fraction form
    96,044,913/210,303,162 = 210,303,162/x
  3. Step 3: Cross multiply
    96,044,913x = 210,303,162 × 210,303,162
  4. Step 4: Simplify right side
    96,044,913x = 44,227,419,947,198,240
  5. Step 5: Solve for x
    x = 44,227,419,947,198,240/96,044,913
  6. Step 6: Final answer
    x = 460,486,855.22

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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.