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Finding the Third Proportional to 159,276,058,326 and 341,270,671,296

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Solution

The third proportional to 159,276,058,326 and 341,270,671,296 is: 731,218,943,455.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,276,058,326 : 341,270,671,296 = 341,270,671,296 : x
  2. Step 2: Convert to fraction form
    159,276,058,326/341,270,671,296 = 341,270,671,296/x
  3. Step 3: Cross multiply
    159,276,058,326x = 341,270,671,296 × 341,270,671,296
  4. Step 4: Simplify right side
    159,276,058,326x = 116,465,671,086,822,471,499,776
  5. Step 5: Solve for x
    x = 116,465,671,086,822,471,499,776/159,276,058,326
  6. Step 6: Final answer
    x = 731,218,943,455.05

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.