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Finding the Third Proportional to 98,873,272 and 208,956,606

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Solution

The third proportional to 98,873,272 and 208,956,606 is: 441,604,311.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,873,272 : 208,956,606 = 208,956,606 : x
  2. Step 2: Convert to fraction form
    98,873,272/208,956,606 = 208,956,606/x
  3. Step 3: Cross multiply
    98,873,272x = 208,956,606 × 208,956,606
  4. Step 4: Simplify right side
    98,873,272x = 43,662,863,191,039,232
  5. Step 5: Solve for x
    x = 43,662,863,191,039,232/98,873,272
  6. Step 6: Final answer
    x = 441,604,311.34

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.