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Finding the Third Proportional to 100,611,488 and 215,567,104

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Solution

The third proportional to 100,611,488 and 215,567,104 is: 461,867,498.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,611,488 : 215,567,104 = 215,567,104 : x
  2. Step 2: Convert to fraction form
    100,611,488/215,567,104 = 215,567,104/x
  3. Step 3: Cross multiply
    100,611,488x = 215,567,104 × 215,567,104
  4. Step 4: Simplify right side
    100,611,488x = 46,469,176,326,946,816
  5. Step 5: Solve for x
    x = 46,469,176,326,946,816/100,611,488
  6. Step 6: Final answer
    x = 461,867,498.94

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.