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Finding the Third Proportional to 99,422,039 and 216,053,640

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Solution

The third proportional to 99,422,039 and 216,053,640 is: 469,505,311.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,422,039 : 216,053,640 = 216,053,640 : x
  2. Step 2: Convert to fraction form
    99,422,039/216,053,640 = 216,053,640/x
  3. Step 3: Cross multiply
    99,422,039x = 216,053,640 × 216,053,640
  4. Step 4: Simplify right side
    99,422,039x = 46,679,175,357,249,600
  5. Step 5: Solve for x
    x = 46,679,175,357,249,600/99,422,039
  6. Step 6: Final answer
    x = 469,505,311.16

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.