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Finding the Third Proportional to 70,697,273,328 and 105,942,494,178

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Solution

The third proportional to 70,697,273,328 and 105,942,494,178 is: 158,758,768,822.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,697,273,328 : 105,942,494,178 = 105,942,494,178 : x
  2. Step 2: Convert to fraction form
    70,697,273,328/105,942,494,178 = 105,942,494,178/x
  3. Step 3: Cross multiply
    70,697,273,328x = 105,942,494,178 × 105,942,494,178
  4. Step 4: Simplify right side
    70,697,273,328x = 11,223,812,072,655,562,997,760
  5. Step 5: Solve for x
    x = 11,223,812,072,655,562,997,760/70,697,273,328
  6. Step 6: Final answer
    x = 158,758,768,822.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.