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Finding the Third Proportional to 206,113,230 and 444,509,052

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Solution

The third proportional to 206,113,230 and 444,509,052 is: 958,639,565.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,113,230 : 444,509,052 = 444,509,052 : x
  2. Step 2: Convert to fraction form
    206,113,230/444,509,052 = 444,509,052/x
  3. Step 3: Cross multiply
    206,113,230x = 444,509,052 × 444,509,052
  4. Step 4: Simplify right side
    206,113,230x = 197,588,297,309,938,688
  5. Step 5: Solve for x
    x = 197,588,297,309,938,688/206,113,230
  6. Step 6: Final answer
    x = 958,639,565.79

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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.