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Finding the Third Proportional to 42,195,655,224,532 and 91,401,296,777,028

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Solution

The third proportional to 42,195,655,224,532 and 91,401,296,777,028 is: 197,987,138,914,371.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,195,655,224,532 : 91,401,296,777,028 = 91,401,296,777,028 : x
  2. Step 2: Convert to fraction form
    42,195,655,224,532/91,401,296,777,028 = 91,401,296,777,028/x
  3. Step 3: Cross multiply
    42,195,655,224,532x = 91,401,296,777,028 × 91,401,296,777,028
  4. Step 4: Simplify right side
    42,195,655,224,532x = 8,354,197,052,522,349,102,723,235,840
  5. Step 5: Solve for x
    x = 8,354,197,052,522,349,102,723,235,840/42,195,655,224,532
  6. Step 6: Final answer
    x = 197,987,138,914,371.66

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.