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Finding the Third Proportional to 90,776,471,897 and 198,653,241,255

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Solution

The third proportional to 90,776,471,897 and 198,653,241,255 is: 434,728,398,630.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,776,471,897 : 198,653,241,255 = 198,653,241,255 : x
  2. Step 2: Convert to fraction form
    90,776,471,897/198,653,241,255 = 198,653,241,255/x
  3. Step 3: Cross multiply
    90,776,471,897x = 198,653,241,255 × 198,653,241,255
  4. Step 4: Simplify right side
    90,776,471,897x = 39,463,110,261,117,233,922,048
  5. Step 5: Solve for x
    x = 39,463,110,261,117,233,922,048/90,776,471,897
  6. Step 6: Final answer
    x = 434,728,398,630.59

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.