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Finding the Third Proportional to 159,996,684,517 and 231,167,579,604

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Solution

The third proportional to 159,996,684,517 and 231,167,579,604 is: 333,997,232,638.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,996,684,517 : 231,167,579,604 = 231,167,579,604 : x
  2. Step 2: Convert to fraction form
    159,996,684,517/231,167,579,604 = 231,167,579,604/x
  3. Step 3: Cross multiply
    159,996,684,517x = 231,167,579,604 × 231,167,579,604
  4. Step 4: Simplify right side
    159,996,684,517x = 53,438,449,859,971,673,751,552
  5. Step 5: Solve for x
    x = 53,438,449,859,971,673,751,552/159,996,684,517
  6. Step 6: Final answer
    x = 333,997,232,638.24

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.