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Finding the Third Proportional to 100,466,896 and 216,994,976

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Solution

The third proportional to 100,466,896 and 216,994,976 is: 468,679,948.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,466,896 : 216,994,976 = 216,994,976 : x
  2. Step 2: Convert to fraction form
    100,466,896/216,994,976 = 216,994,976/x
  3. Step 3: Cross multiply
    100,466,896x = 216,994,976 × 216,994,976
  4. Step 4: Simplify right side
    100,466,896x = 47,086,819,609,240,576
  5. Step 5: Solve for x
    x = 47,086,819,609,240,576/100,466,896
  6. Step 6: Final answer
    x = 468,679,948.16

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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.