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Finding the Third Proportional to 67,442,107,196,108 and 90,995,238,048,486

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Solution

The third proportional to 67,442,107,196,108 and 90,995,238,048,486 is: 122,773,941,855,400.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,442,107,196,108 : 90,995,238,048,486 = 90,995,238,048,486 : x
  2. Step 2: Convert to fraction form
    67,442,107,196,108/90,995,238,048,486 = 90,995,238,048,486/x
  3. Step 3: Cross multiply
    67,442,107,196,108x = 90,995,238,048,486 × 90,995,238,048,486
  4. Step 4: Simplify right side
    67,442,107,196,108x = 8,280,133,347,500,633,895,408,238,592
  5. Step 5: Solve for x
    x = 8,280,133,347,500,633,895,408,238,592/67,442,107,196,108
  6. Step 6: Final answer
    x = 122,773,941,855,400.25

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.