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Finding the Third Proportional to 96,399,964 and 146,858,784

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Solution

The third proportional to 96,399,964 and 146,858,784 is: 223,729,361.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,399,964 : 146,858,784 = 146,858,784 : x
  2. Step 2: Convert to fraction form
    96,399,964/146,858,784 = 146,858,784/x
  3. Step 3: Cross multiply
    96,399,964x = 146,858,784 × 146,858,784
  4. Step 4: Simplify right side
    96,399,964x = 21,567,502,437,958,656
  5. Step 5: Solve for x
    x = 21,567,502,437,958,656/96,399,964
  6. Step 6: Final answer
    x = 223,729,361.95

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.