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Finding the Third Proportional to 99,422,039.50 and 216,053,640.50

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Solution

The third proportional to 99,422,039.50 and 216,053,640.50 is: 469,505,310.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,422,039.50 : 216,053,640.50 = 216,053,640.50 : x
  2. Step 2: Convert to fraction form
    99,422,039.50/216,053,640.50 = 216,053,640.50/x
  3. Step 3: Cross multiply
    99,422,039.50x = 216,053,640.50 × 216,053,640.50
  4. Step 4: Simplify right side
    99,422,039.50x = 46,679,175,573,303,240
  5. Step 5: Solve for x
    x = 46,679,175,573,303,240/99,422,039.50
  6. Step 6: Final answer
    x = 469,505,310.98

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