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Finding the Third Proportional to 241,079,870 and 523,257,841

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Solution

The third proportional to 241,079,870 and 523,257,841 is: 1,135,718,084.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,079,870 : 523,257,841 = 523,257,841 : x
  2. Step 2: Convert to fraction form
    241,079,870/523,257,841 = 523,257,841/x
  3. Step 3: Cross multiply
    241,079,870x = 523,257,841 × 523,257,841
  4. Step 4: Simplify right side
    241,079,870x = 273,798,768,167,981,280
  5. Step 5: Solve for x
    x = 273,798,768,167,981,280/241,079,870
  6. Step 6: Final answer
    x = 1,135,718,084.50

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.