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Finding the Third Proportional to 100,466,884 and 216,994,952

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Solution

The third proportional to 100,466,884 and 216,994,952 is: 468,679,900.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,466,884 : 216,994,952 = 216,994,952 : x
  2. Step 2: Convert to fraction form
    100,466,884/216,994,952 = 216,994,952/x
  3. Step 3: Cross multiply
    100,466,884x = 216,994,952 × 216,994,952
  4. Step 4: Simplify right side
    100,466,884x = 47,086,809,193,482,304
  5. Step 5: Solve for x
    x = 47,086,809,193,482,304/100,466,884
  6. Step 6: Final answer
    x = 468,679,900.47

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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.