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Finding the Third Proportional to 83,424,573 and 122,150,389.50

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Solution

The third proportional to 83,424,573 and 122,150,389.50 is: 178,852,790.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,424,573 : 122,150,389.50 = 122,150,389.50 : x
  2. Step 2: Convert to fraction form
    83,424,573/122,150,389.50 = 122,150,389.50/x
  3. Step 3: Cross multiply
    83,424,573x = 122,150,389.50 × 122,150,389.50
  4. Step 4: Simplify right side
    83,424,573x = 14,920,717,655,001,710
  5. Step 5: Solve for x
    x = 14,920,717,655,001,710/83,424,573
  6. Step 6: Final answer
    x = 178,852,790.23

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.