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Finding the Third Proportional to 68,137,687,792.50 and 149,098,515,472.12

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Solution

The third proportional to 68,137,687,792.50 and 149,098,515,472.12 is: 326,256,555,457.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,137,687,792.50 : 149,098,515,472.12 = 149,098,515,472.12 : x
  2. Step 2: Convert to fraction form
    68,137,687,792.50/149,098,515,472.12 = 149,098,515,472.12/x
  3. Step 3: Cross multiply
    68,137,687,792.50x = 149,098,515,472.12 × 149,098,515,472.12
  4. Step 4: Simplify right side
    68,137,687,792.50x = 22,230,367,315,990,006,464,512
  5. Step 5: Solve for x
    x = 22,230,367,315,990,006,464,512/68,137,687,792.50
  6. Step 6: Final answer
    x = 326,256,555,457.07

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.