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Finding the Third Proportional to 82,058,812,108 and 122,605,166,238

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Solution

The third proportional to 82,058,812,108 and 122,605,166,238 is: 183,186,015,031.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,058,812,108 : 122,605,166,238 = 122,605,166,238 : x
  2. Step 2: Convert to fraction form
    82,058,812,108/122,605,166,238 = 122,605,166,238/x
  3. Step 3: Cross multiply
    82,058,812,108x = 122,605,166,238 × 122,605,166,238
  4. Step 4: Simplify right side
    82,058,812,108x = 15,032,026,788,247,615,045,632
  5. Step 5: Solve for x
    x = 15,032,026,788,247,615,045,632/82,058,812,108
  6. Step 6: Final answer
    x = 183,186,015,031.07

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.