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Finding the Third Proportional to 74,734,176 and 160,992,960

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Solution

The third proportional to 74,734,176 and 160,992,960 is: 346,812,322.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,734,176 : 160,992,960 = 160,992,960 : x
  2. Step 2: Convert to fraction form
    74,734,176/160,992,960 = 160,992,960/x
  3. Step 3: Cross multiply
    74,734,176x = 160,992,960 × 160,992,960
  4. Step 4: Simplify right side
    74,734,176x = 25,918,733,169,561,600
  5. Step 5: Solve for x
    x = 25,918,733,169,561,600/74,734,176
  6. Step 6: Final answer
    x = 346,812,322.78

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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.