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Finding the Third Proportional to 96,261,024 and 207,867,120

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Solution

The third proportional to 96,261,024 and 207,867,120 is: 448,870,558.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,261,024 : 207,867,120 = 207,867,120 : x
  2. Step 2: Convert to fraction form
    96,261,024/207,867,120 = 207,867,120/x
  3. Step 3: Cross multiply
    96,261,024x = 207,867,120 × 207,867,120
  4. Step 4: Simplify right side
    96,261,024x = 43,208,739,577,094,400
  5. Step 5: Solve for x
    x = 43,208,739,577,094,400/96,261,024
  6. Step 6: Final answer
    x = 448,870,558.21

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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.