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Finding the Third Proportional to 161,379,772,634 and 353,160,096,236

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Solution

The third proportional to 161,379,772,634 and 353,160,096,236 is: 772,848,118,061.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,379,772,634 : 353,160,096,236 = 353,160,096,236 : x
  2. Step 2: Convert to fraction form
    161,379,772,634/353,160,096,236 = 353,160,096,236/x
  3. Step 3: Cross multiply
    161,379,772,634x = 353,160,096,236 × 353,160,096,236
  4. Step 4: Simplify right side
    161,379,772,634x = 124,722,053,573,420,787,957,760
  5. Step 5: Solve for x
    x = 124,722,053,573,420,787,957,760/161,379,772,634
  6. Step 6: Final answer
    x = 772,848,118,061.76

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Why These Related Problems?

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