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Finding the Third Proportional to 107,849,706,584 and 234,471,231,086

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Solution

The third proportional to 107,849,706,584 and 234,471,231,086 is: 509,753,433,257.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,849,706,584 : 234,471,231,086 = 234,471,231,086 : x
  2. Step 2: Convert to fraction form
    107,849,706,584/234,471,231,086 = 234,471,231,086/x
  3. Step 3: Cross multiply
    107,849,706,584x = 234,471,231,086 × 234,471,231,086
  4. Step 4: Simplify right side
    107,849,706,584x = 54,976,758,206,984,410,365,952
  5. Step 5: Solve for x
    x = 54,976,758,206,984,410,365,952/107,849,706,584
  6. Step 6: Final answer
    x = 509,753,433,257.28

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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.