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Finding the Third Proportional to 65,135,204,487 and 141,804,226,098

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Solution

The third proportional to 65,135,204,487 and 141,804,226,098 is: 308,718,437,251.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,135,204,487 : 141,804,226,098 = 141,804,226,098 : x
  2. Step 2: Convert to fraction form
    65,135,204,487/141,804,226,098 = 141,804,226,098/x
  3. Step 3: Cross multiply
    65,135,204,487x = 141,804,226,098 × 141,804,226,098
  4. Step 4: Simplify right side
    65,135,204,487x = 20,108,438,539,252,705,263,616
  5. Step 5: Solve for x
    x = 20,108,438,539,252,705,263,616/65,135,204,487
  6. Step 6: Final answer
    x = 308,718,437,251.03

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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.