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Finding the Third Proportional to 81,207,759,184 and 124,145,721,816

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Solution

The third proportional to 81,207,759,184 and 124,145,721,816 is: 189,786,793,775.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,207,759,184 : 124,145,721,816 = 124,145,721,816 : x
  2. Step 2: Convert to fraction form
    81,207,759,184/124,145,721,816 = 124,145,721,816/x
  3. Step 3: Cross multiply
    81,207,759,184x = 124,145,721,816 × 124,145,721,816
  4. Step 4: Simplify right side
    81,207,759,184x = 15,412,160,245,215,659,032,576
  5. Step 5: Solve for x
    x = 15,412,160,245,215,659,032,576/81,207,759,184
  6. Step 6: Final answer
    x = 189,786,793,775.39

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.