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Finding the Third Proportional to 83,424,574 and 122,150,391

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Solution

The third proportional to 83,424,574 and 122,150,391 is: 178,852,792.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,424,574 : 122,150,391 = 122,150,391 : x
  2. Step 2: Convert to fraction form
    83,424,574/122,150,391 = 122,150,391/x
  3. Step 3: Cross multiply
    83,424,574x = 122,150,391 × 122,150,391
  4. Step 4: Simplify right side
    83,424,574x = 14,920,718,021,452,880
  5. Step 5: Solve for x
    x = 14,920,718,021,452,880/83,424,574
  6. Step 6: Final answer
    x = 178,852,792.48

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Why These Related Problems?

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