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Finding the Third Proportional to 105,296,035 and 234,789,321

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Solution

The third proportional to 105,296,035 and 234,789,321 is: 523,533,723.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,296,035 : 234,789,321 = 234,789,321 : x
  2. Step 2: Convert to fraction form
    105,296,035/234,789,321 = 234,789,321/x
  3. Step 3: Cross multiply
    105,296,035x = 234,789,321 × 234,789,321
  4. Step 4: Simplify right side
    105,296,035x = 55,126,025,255,641,040
  5. Step 5: Solve for x
    x = 55,126,025,255,641,040/105,296,035
  6. Step 6: Final answer
    x = 523,533,723.33

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.