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Finding the Third Proportional to 91,467,152,192 and 198,129,790,336

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Solution

The third proportional to 91,467,152,192 and 198,129,790,336 is: 429,174,986,624.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,467,152,192 : 198,129,790,336 = 198,129,790,336 : x
  2. Step 2: Convert to fraction form
    91,467,152,192/198,129,790,336 = 198,129,790,336/x
  3. Step 3: Cross multiply
    91,467,152,192x = 198,129,790,336 × 198,129,790,336
  4. Step 4: Simplify right side
    91,467,152,192x = 39,255,413,818,587,317,534,720
  5. Step 5: Solve for x
    x = 39,255,413,818,587,317,534,720/91,467,152,192
  6. Step 6: Final answer
    x = 429,174,986,624.55

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Why These Related Problems?

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