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Finding the Third Proportional to 206,113,224 and 444,509,040

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Solution

The third proportional to 206,113,224 and 444,509,040 is: 958,639,541.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,113,224 : 444,509,040 = 444,509,040 : x
  2. Step 2: Convert to fraction form
    206,113,224/444,509,040 = 444,509,040/x
  3. Step 3: Cross multiply
    206,113,224x = 444,509,040 × 444,509,040
  4. Step 4: Simplify right side
    206,113,224x = 197,588,286,641,721,600
  5. Step 5: Solve for x
    x = 197,588,286,641,721,600/206,113,224
  6. Step 6: Final answer
    x = 958,639,541.93

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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.