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Finding the Third Proportional to 43,309,767 and 96,302,574

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Solution

The third proportional to 43,309,767 and 96,302,574 is: 214,136,126.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,309,767 : 96,302,574 = 96,302,574 : x
  2. Step 2: Convert to fraction form
    43,309,767/96,302,574 = 96,302,574/x
  3. Step 3: Cross multiply
    43,309,767x = 96,302,574 × 96,302,574
  4. Step 4: Simplify right side
    43,309,767x = 9,274,185,759,025,476
  5. Step 5: Solve for x
    x = 9,274,185,759,025,476/43,309,767
  6. Step 6: Final answer
    x = 214,136,126.82

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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.