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Finding the Third Proportional to 146,909,872.13 and 320,677,197.75

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Solution

The third proportional to 146,909,872.13 and 320,677,197.75 is: 699,979,270.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,909,872.13 : 320,677,197.75 = 320,677,197.75 : x
  2. Step 2: Convert to fraction form
    146,909,872.13/320,677,197.75 = 320,677,197.75/x
  3. Step 3: Cross multiply
    146,909,872.13x = 320,677,197.75 × 320,677,197.75
  4. Step 4: Simplify right side
    146,909,872.13x = 102,833,865,156,792,608
  5. Step 5: Solve for x
    x = 102,833,865,156,792,608/146,909,872.13
  6. Step 6: Final answer
    x = 699,979,270.76

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