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Finding the Third Proportional to 48,419,252.50 and 103,746,137

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Solution

The third proportional to 48,419,252.50 and 103,746,137 is: 222,293,000.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,419,252.50 : 103,746,137 = 103,746,137 : x
  2. Step 2: Convert to fraction form
    48,419,252.50/103,746,137 = 103,746,137/x
  3. Step 3: Cross multiply
    48,419,252.50x = 103,746,137 × 103,746,137
  4. Step 4: Simplify right side
    48,419,252.50x = 10,763,260,942,422,768
  5. Step 5: Solve for x
    x = 10,763,260,942,422,768/48,419,252.50
  6. Step 6: Final answer
    x = 222,293,000.96

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.