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Finding the Third Proportional to 156,220,137,980 and 339,071,847,364

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Solution

The third proportional to 156,220,137,980 and 339,071,847,364 is: 735,946,845,019.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,220,137,980 : 339,071,847,364 = 339,071,847,364 : x
  2. Step 2: Convert to fraction form
    156,220,137,980/339,071,847,364 = 339,071,847,364/x
  3. Step 3: Cross multiply
    156,220,137,980x = 339,071,847,364 × 339,071,847,364
  4. Step 4: Simplify right side
    156,220,137,980x = 114,969,717,674,835,718,438,912
  5. Step 5: Solve for x
    x = 114,969,717,674,835,718,438,912/156,220,137,980
  6. Step 6: Final answer
    x = 735,946,845,019.14

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.