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Finding the Third Proportional to 42,262,457,384 and 92,118,671,938

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Solution

The third proportional to 42,262,457,384 and 92,118,671,938 is: 200,789,311,480.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,262,457,384 : 92,118,671,938 = 92,118,671,938 : x
  2. Step 2: Convert to fraction form
    42,262,457,384/92,118,671,938 = 92,118,671,938/x
  3. Step 3: Cross multiply
    42,262,457,384x = 92,118,671,938 × 92,118,671,938
  4. Step 4: Simplify right side
    42,262,457,384x = 8,485,849,719,620,868,505,600
  5. Step 5: Solve for x
    x = 8,485,849,719,620,868,505,600/42,262,457,384
  6. Step 6: Final answer
    x = 200,789,311,480.82

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.