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Finding the Third Proportional to 100,607,350 and 215,557,046

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Solution

The third proportional to 100,607,350 and 215,557,046 is: 461,843,394.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,607,350 : 215,557,046 = 215,557,046 : x
  2. Step 2: Convert to fraction form
    100,607,350/215,557,046 = 215,557,046/x
  3. Step 3: Cross multiply
    100,607,350x = 215,557,046 × 215,557,046
  4. Step 4: Simplify right side
    100,607,350x = 46,464,840,080,246,112
  5. Step 5: Solve for x
    x = 46,464,840,080,246,112/100,607,350
  6. Step 6: Final answer
    x = 461,843,394.94

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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.