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Finding the Third Proportional to 99,625,134.94 and 205,616,644.59

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Solution

The third proportional to 99,625,134.94 and 205,616,644.59 is: 424,372,870.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,625,134.94 : 205,616,644.59 = 205,616,644.59 : x
  2. Step 2: Convert to fraction form
    99,625,134.94/205,616,644.59 = 205,616,644.59/x
  3. Step 3: Cross multiply
    99,625,134.94x = 205,616,644.59 × 205,616,644.59
  4. Step 4: Simplify right side
    99,625,134.94x = 42,278,204,533,992,504
  5. Step 5: Solve for x
    x = 42,278,204,533,992,504/99,625,134.94
  6. Step 6: Final answer
    x = 424,372,870.97

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.