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Finding the Third Proportional to 91,457,976,955.50 and 198,113,439,348

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Solution

The third proportional to 91,457,976,955.50 and 198,113,439,348 is: 429,147,201,335.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,457,976,955.50 : 198,113,439,348 = 198,113,439,348 : x
  2. Step 2: Convert to fraction form
    91,457,976,955.50/198,113,439,348 = 198,113,439,348/x
  3. Step 3: Cross multiply
    91,457,976,955.50x = 198,113,439,348 × 198,113,439,348
  4. Step 4: Simplify right side
    91,457,976,955.50x = 39,248,934,850,293,676,376,064
  5. Step 5: Solve for x
    x = 39,248,934,850,293,676,376,064/91,457,976,955.50
  6. Step 6: Final answer
    x = 429,147,201,335.87

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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.