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Finding the Third Proportional to 206,985,384 and 455,969,268

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Solution

The third proportional to 206,985,384 and 455,969,268 is: 1,004,457,268.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,985,384 : 455,969,268 = 455,969,268 : x
  2. Step 2: Convert to fraction form
    206,985,384/455,969,268 = 455,969,268/x
  3. Step 3: Cross multiply
    206,985,384x = 455,969,268 × 455,969,268
  4. Step 4: Simplify right side
    206,985,384x = 207,907,973,360,455,808
  5. Step 5: Solve for x
    x = 207,907,973,360,455,808/206,985,384
  6. Step 6: Final answer
    x = 1,004,457,268.15

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.