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Finding the Third Proportional to 143,670,024 and 219,092,040

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Solution

The third proportional to 143,670,024 and 219,092,040 is: 334,108,122.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,670,024 : 219,092,040 = 219,092,040 : x
  2. Step 2: Convert to fraction form
    143,670,024/219,092,040 = 219,092,040/x
  3. Step 3: Cross multiply
    143,670,024x = 219,092,040 × 219,092,040
  4. Step 4: Simplify right side
    143,670,024x = 48,001,321,991,361,600
  5. Step 5: Solve for x
    x = 48,001,321,991,361,600/143,670,024
  6. Step 6: Final answer
    x = 334,108,122.59

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.