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Finding the Third Proportional to 96,949,648 and 145,080,972

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Solution

The third proportional to 96,949,648 and 145,080,972 is: 217,107,425.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,949,648 : 145,080,972 = 145,080,972 : x
  2. Step 2: Convert to fraction form
    96,949,648/145,080,972 = 145,080,972/x
  3. Step 3: Cross multiply
    96,949,648x = 145,080,972 × 145,080,972
  4. Step 4: Simplify right side
    96,949,648x = 21,048,488,436,464,784
  5. Step 5: Solve for x
    x = 21,048,488,436,464,784/96,949,648
  6. Step 6: Final answer
    x = 217,107,425.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.