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Finding the Third Proportional to 100,607,408 and 215,557,168

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Solution

The third proportional to 100,607,408 and 215,557,168 is: 461,843,651.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,607,408 : 215,557,168 = 215,557,168 : x
  2. Step 2: Convert to fraction form
    100,607,408/215,557,168 = 215,557,168/x
  3. Step 3: Cross multiply
    100,607,408x = 215,557,168 × 215,557,168
  4. Step 4: Simplify right side
    100,607,408x = 46,464,892,676,180,224
  5. Step 5: Solve for x
    x = 46,464,892,676,180,224/100,607,408
  6. Step 6: Final answer
    x = 461,843,651.48

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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.