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Finding the Third Proportional to 104,790,526,121 and 227,941,433,681

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Solution

The third proportional to 104,790,526,121 and 227,941,433,681 is: 495,820,558,516.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,790,526,121 : 227,941,433,681 = 227,941,433,681 : x
  2. Step 2: Convert to fraction form
    104,790,526,121/227,941,433,681 = 227,941,433,681/x
  3. Step 3: Cross multiply
    104,790,526,121x = 227,941,433,681 × 227,941,433,681
  4. Step 4: Simplify right side
    104,790,526,121x = 51,957,297,188,549,718,704,128
  5. Step 5: Solve for x
    x = 51,957,297,188,549,718,704,128/104,790,526,121
  6. Step 6: Final answer
    x = 495,820,558,516.48

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.