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Finding the Third Proportional to 96,078,315,434.63 and 200,108,974,642.88

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Solution

The third proportional to 96,078,315,434.63 and 200,108,974,642.88 is: 416,780,847,493.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,078,315,434.63 : 200,108,974,642.88 = 200,108,974,642.88 : x
  2. Step 2: Convert to fraction form
    96,078,315,434.63/200,108,974,642.88 = 200,108,974,642.88/x
  3. Step 3: Cross multiply
    96,078,315,434.63x = 200,108,974,642.88 × 200,108,974,642.88
  4. Step 4: Simplify right side
    96,078,315,434.63x = 40,043,601,732,624,795,566,080
  5. Step 5: Solve for x
    x = 40,043,601,732,624,795,566,080/96,078,315,434.63
  6. Step 6: Final answer
    x = 416,780,847,493.85

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.