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Finding the Third Proportional to 174,854,670.75 and 379,211,777.25

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Solution

The third proportional to 174,854,670.75 and 379,211,777.25 is: 822,406,238.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,854,670.75 : 379,211,777.25 = 379,211,777.25 : x
  2. Step 2: Convert to fraction form
    174,854,670.75/379,211,777.25 = 379,211,777.25/x
  3. Step 3: Cross multiply
    174,854,670.75x = 379,211,777.25 × 379,211,777.25
  4. Step 4: Simplify right side
    174,854,670.75x = 143,801,572,005,103,616
  5. Step 5: Solve for x
    x = 143,801,572,005,103,616/174,854,670.75
  6. Step 6: Final answer
    x = 822,406,238.21

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.