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Finding the Third Proportional to 43,309,769 and 96,302,578

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Solution

The third proportional to 43,309,769 and 96,302,578 is: 214,136,134.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,309,769 : 96,302,578 = 96,302,578 : x
  2. Step 2: Convert to fraction form
    43,309,769/96,302,578 = 96,302,578/x
  3. Step 3: Cross multiply
    43,309,769x = 96,302,578 × 96,302,578
  4. Step 4: Simplify right side
    43,309,769x = 9,274,186,529,446,084
  5. Step 5: Solve for x
    x = 9,274,186,529,446,084/43,309,769
  6. Step 6: Final answer
    x = 214,136,134.72

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.