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Finding the Third Proportional to 159,276,058,313 and 341,270,671,275.50

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Solution

The third proportional to 159,276,058,313 and 341,270,671,275.50 is: 731,218,943,426.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,276,058,313 : 341,270,671,275.50 = 341,270,671,275.50 : x
  2. Step 2: Convert to fraction form
    159,276,058,313/341,270,671,275.50 = 341,270,671,275.50/x
  3. Step 3: Cross multiply
    159,276,058,313x = 341,270,671,275.50 × 341,270,671,275.50
  4. Step 4: Simplify right side
    159,276,058,313x = 116,465,671,072,830,374,019,072
  5. Step 5: Solve for x
    x = 116,465,671,072,830,374,019,072/159,276,058,313
  6. Step 6: Final answer
    x = 731,218,943,426.88

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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.