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Finding the Third Proportional to 161,234,643.75 and 352,647,617.25

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Solution

The third proportional to 161,234,643.75 and 352,647,617.25 is: 771,300,379.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,234,643.75 : 352,647,617.25 = 352,647,617.25 : x
  2. Step 2: Convert to fraction form
    161,234,643.75/352,647,617.25 = 352,647,617.25/x
  3. Step 3: Cross multiply
    161,234,643.75x = 352,647,617.25 × 352,647,617.25
  4. Step 4: Simplify right side
    161,234,643.75x = 124,360,341,952,102,496
  5. Step 5: Solve for x
    x = 124,360,341,952,102,496/161,234,643.75
  6. Step 6: Final answer
    x = 771,300,379.74

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.