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Finding the Third Proportional to 100,466,886 and 216,994,956

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Solution

The third proportional to 100,466,886 and 216,994,956 is: 468,679,908.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,466,886 : 216,994,956 = 216,994,956 : x
  2. Step 2: Convert to fraction form
    100,466,886/216,994,956 = 216,994,956/x
  3. Step 3: Cross multiply
    100,466,886x = 216,994,956 × 216,994,956
  4. Step 4: Simplify right side
    100,466,886x = 47,086,810,929,441,936
  5. Step 5: Solve for x
    x = 47,086,810,929,441,936/100,466,886
  6. Step 6: Final answer
    x = 468,679,908.42

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.