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Finding the Third Proportional to 101,218,307,498 and 210,814,392,800

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Solution

The third proportional to 101,218,307,498 and 210,814,392,800 is: 439,077,764,785.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,218,307,498 : 210,814,392,800 = 210,814,392,800 : x
  2. Step 2: Convert to fraction form
    101,218,307,498/210,814,392,800 = 210,814,392,800/x
  3. Step 3: Cross multiply
    101,218,307,498x = 210,814,392,800 × 210,814,392,800
  4. Step 4: Simplify right side
    101,218,307,498x = 44,442,708,211,632,690,954,240
  5. Step 5: Solve for x
    x = 44,442,708,211,632,690,954,240/101,218,307,498
  6. Step 6: Final answer
    x = 439,077,764,785.89

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.