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Finding the Third Proportional to 135,697,669,904 and 298,313,889,368

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Solution

The third proportional to 135,697,669,904 and 298,313,889,368 is: 655,804,750,758.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,697,669,904 : 298,313,889,368 = 298,313,889,368 : x
  2. Step 2: Convert to fraction form
    135,697,669,904/298,313,889,368 = 298,313,889,368/x
  3. Step 3: Cross multiply
    135,697,669,904x = 298,313,889,368 × 298,313,889,368
  4. Step 4: Simplify right side
    135,697,669,904x = 88,991,176,589,863,349,649,408
  5. Step 5: Solve for x
    x = 88,991,176,589,863,349,649,408/135,697,669,904
  6. Step 6: Final answer
    x = 655,804,750,758.22

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.