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Finding the Third Proportional to 161,734,512 and 231,281,976

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Solution

The third proportional to 161,734,512 and 231,281,976 is: 330,735,547.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,734,512 : 231,281,976 = 231,281,976 : x
  2. Step 2: Convert to fraction form
    161,734,512/231,281,976 = 231,281,976/x
  3. Step 3: Cross multiply
    161,734,512x = 231,281,976 × 231,281,976
  4. Step 4: Simplify right side
    161,734,512x = 53,491,352,422,464,576
  5. Step 5: Solve for x
    x = 53,491,352,422,464,576/161,734,512
  6. Step 6: Final answer
    x = 330,735,547.79

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.