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Finding the Third Proportional to 96,261,036 and 207,867,144

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Solution

The third proportional to 96,261,036 and 207,867,144 is: 448,870,605.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,261,036 : 207,867,144 = 207,867,144 : x
  2. Step 2: Convert to fraction form
    96,261,036/207,867,144 = 207,867,144/x
  3. Step 3: Cross multiply
    96,261,036x = 207,867,144 × 207,867,144
  4. Step 4: Simplify right side
    96,261,036x = 43,208,749,554,716,736
  5. Step 5: Solve for x
    x = 43,208,749,554,716,736/96,261,036
  6. Step 6: Final answer
    x = 448,870,605.91

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.