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Finding the Third Proportional to 159,996,684,570.75 and 231,167,579,679

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Solution

The third proportional to 159,996,684,570.75 and 231,167,579,679 is: 333,997,232,742.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,996,684,570.75 : 231,167,579,679 = 231,167,579,679 : x
  2. Step 2: Convert to fraction form
    159,996,684,570.75/231,167,579,679 = 231,167,579,679/x
  3. Step 3: Cross multiply
    159,996,684,570.75x = 231,167,579,679 × 231,167,579,679
  4. Step 4: Simplify right side
    159,996,684,570.75x = 53,438,449,894,646,815,391,744
  5. Step 5: Solve for x
    x = 53,438,449,894,646,815,391,744/159,996,684,570.75
  6. Step 6: Final answer
    x = 333,997,232,742.76

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1.5x scale

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.