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Finding the Third Proportional to 107,849,706,592 and 234,471,231,102

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Solution

The third proportional to 107,849,706,592 and 234,471,231,102 is: 509,753,433,289.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,849,706,592 : 234,471,231,102 = 234,471,231,102 : x
  2. Step 2: Convert to fraction form
    107,849,706,592/234,471,231,102 = 234,471,231,102/x
  3. Step 3: Cross multiply
    107,849,706,592x = 234,471,231,102 × 234,471,231,102
  4. Step 4: Simplify right side
    107,849,706,592x = 54,976,758,214,487,491,739,648
  5. Step 5: Solve for x
    x = 54,976,758,214,487,491,739,648/107,849,706,592
  6. Step 6: Final answer
    x = 509,753,433,289.04

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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.