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Finding the Third Proportional to 75,913,730,702 and 158,110,794,760

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Solution

The third proportional to 75,913,730,702 and 158,110,794,760 is: 329,308,323,915.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,913,730,702 : 158,110,794,760 = 158,110,794,760 : x
  2. Step 2: Convert to fraction form
    75,913,730,702/158,110,794,760 = 158,110,794,760/x
  3. Step 3: Cross multiply
    75,913,730,702x = 158,110,794,760 × 158,110,794,760
  4. Step 4: Simplify right side
    75,913,730,702x = 24,999,023,419,638,843,179,008
  5. Step 5: Solve for x
    x = 24,999,023,419,638,843,179,008/75,913,730,702
  6. Step 6: Final answer
    x = 329,308,323,915.38

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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.