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Finding the Third Proportional to 74,734,548 and 160,993,704

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Solution

The third proportional to 74,734,548 and 160,993,704 is: 346,813,801.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,734,548 : 160,993,704 = 160,993,704 : x
  2. Step 2: Convert to fraction form
    74,734,548/160,993,704 = 160,993,704/x
  3. Step 3: Cross multiply
    74,734,548x = 160,993,704 × 160,993,704
  4. Step 4: Simplify right side
    74,734,548x = 25,918,972,727,639,616
  5. Step 5: Solve for x
    x = 25,918,972,727,639,616/74,734,548
  6. Step 6: Final answer
    x = 346,813,801.93

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.