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Finding the Third Proportional to 75,913,727,508 and 158,110,789,122

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Solution

The third proportional to 75,913,727,508 and 158,110,789,122 is: 329,308,314,285.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,913,727,508 : 158,110,789,122 = 158,110,789,122 : x
  2. Step 2: Convert to fraction form
    75,913,727,508/158,110,789,122 = 158,110,789,122/x
  3. Step 3: Cross multiply
    75,913,727,508x = 158,110,789,122 × 158,110,789,122
  4. Step 4: Simplify right side
    75,913,727,508x = 24,999,021,636,781,552,435,200
  5. Step 5: Solve for x
    x = 24,999,021,636,781,552,435,200/75,913,727,508
  6. Step 6: Final answer
    x = 329,308,314,285.41

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.