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Finding the Third Proportional to 84,631,425.75 and 116,941,408.88

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Solution

The third proportional to 84,631,425.75 and 116,941,408.88 is: 161,586,467.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,631,425.75 : 116,941,408.88 = 116,941,408.88 : x
  2. Step 2: Convert to fraction form
    84,631,425.75/116,941,408.88 = 116,941,408.88/x
  3. Step 3: Cross multiply
    84,631,425.75x = 116,941,408.88 × 116,941,408.88
  4. Step 4: Simplify right side
    84,631,425.75x = 13,675,293,109,669,928
  5. Step 5: Solve for x
    x = 13,675,293,109,669,928/84,631,425.75
  6. Step 6: Final answer
    x = 161,586,467.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.