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Finding the Third Proportional to 102,738,980,037 and 157,179,135,790.50

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Solution

The third proportional to 102,738,980,037 and 157,179,135,790.50 is: 240,466,478,438.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,738,980,037 : 157,179,135,790.50 = 157,179,135,790.50 : x
  2. Step 2: Convert to fraction form
    102,738,980,037/157,179,135,790.50 = 157,179,135,790.50/x
  3. Step 3: Cross multiply
    102,738,980,037x = 157,179,135,790.50 × 157,179,135,790.50
  4. Step 4: Simplify right side
    102,738,980,037x = 24,705,280,727,848,436,367,360
  5. Step 5: Solve for x
    x = 24,705,280,727,848,436,367,360/102,738,980,037
  6. Step 6: Final answer
    x = 240,466,478,438.38

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.