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Finding the Third Proportional to 89,769,624 and 193,888,120

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Solution

The third proportional to 89,769,624 and 193,888,120 is: 418,767,522.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,769,624 : 193,888,120 = 193,888,120 : x
  2. Step 2: Convert to fraction form
    89,769,624/193,888,120 = 193,888,120/x
  3. Step 3: Cross multiply
    89,769,624x = 193,888,120 × 193,888,120
  4. Step 4: Simplify right side
    89,769,624x = 37,592,603,077,134,400
  5. Step 5: Solve for x
    x = 37,592,603,077,134,400/89,769,624
  6. Step 6: Final answer
    x = 418,767,522.93

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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.