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Finding the Third Proportional to 98,642,676 and 211,829,634

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Solution

The third proportional to 98,642,676 and 211,829,634 is: 454,892,300.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,642,676 : 211,829,634 = 211,829,634 : x
  2. Step 2: Convert to fraction form
    98,642,676/211,829,634 = 211,829,634/x
  3. Step 3: Cross multiply
    98,642,676x = 211,829,634 × 211,829,634
  4. Step 4: Simplify right side
    98,642,676x = 44,871,793,840,573,952
  5. Step 5: Solve for x
    x = 44,871,793,840,573,952/98,642,676
  6. Step 6: Final answer
    x = 454,892,300.78

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.