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Finding the Third Proportional to 158,707,855,738 and 342,662,682,260

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Solution

The third proportional to 158,707,855,738 and 342,662,682,260 is: 739,835,550,468.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,707,855,738 : 342,662,682,260 = 342,662,682,260 : x
  2. Step 2: Convert to fraction form
    158,707,855,738/342,662,682,260 = 342,662,682,260/x
  3. Step 3: Cross multiply
    158,707,855,738x = 342,662,682,260 × 342,662,682,260
  4. Step 4: Simplify right side
    158,707,855,738x = 117,417,713,813,617,719,115,776
  5. Step 5: Solve for x
    x = 117,417,713,813,617,719,115,776/158,707,855,738
  6. Step 6: Final answer
    x = 739,835,550,468.62

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.