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Finding the Third Proportional to 98,873,266 and 208,956,594

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Solution

The third proportional to 98,873,266 and 208,956,594 is: 441,604,287.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,873,266 : 208,956,594 = 208,956,594 : x
  2. Step 2: Convert to fraction form
    98,873,266/208,956,594 = 208,956,594/x
  3. Step 3: Cross multiply
    98,873,266x = 208,956,594 × 208,956,594
  4. Step 4: Simplify right side
    98,873,266x = 43,662,858,176,080,832
  5. Step 5: Solve for x
    x = 43,662,858,176,080,832/98,873,266
  6. Step 6: Final answer
    x = 441,604,287.41

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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.