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Finding the Third Proportional to 73,672,832 and 160,415,946

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Solution

The third proportional to 73,672,832 and 160,415,946 is: 349,291,252.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,672,832 : 160,415,946 = 160,415,946 : x
  2. Step 2: Convert to fraction form
    73,672,832/160,415,946 = 160,415,946/x
  3. Step 3: Cross multiply
    73,672,832x = 160,415,946 × 160,415,946
  4. Step 4: Simplify right side
    73,672,832x = 25,733,275,731,074,916
  5. Step 5: Solve for x
    x = 25,733,275,731,074,916/73,672,832
  6. Step 6: Final answer
    x = 349,291,252.05

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.