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Finding the Third Proportional to 96,261,048 and 207,867,168

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Solution

The third proportional to 96,261,048 and 207,867,168 is: 448,870,653.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,261,048 : 207,867,168 = 207,867,168 : x
  2. Step 2: Convert to fraction form
    96,261,048/207,867,168 = 207,867,168/x
  3. Step 3: Cross multiply
    96,261,048x = 207,867,168 × 207,867,168
  4. Step 4: Simplify right side
    96,261,048x = 43,208,759,532,340,224
  5. Step 5: Solve for x
    x = 43,208,759,532,340,224/96,261,048
  6. Step 6: Final answer
    x = 448,870,653.60

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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.