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Finding the Third Proportional to 205,873,974 and 453,200,346

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Solution

The third proportional to 205,873,974 and 453,200,346 is: 997,651,862.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,873,974 : 453,200,346 = 453,200,346 : x
  2. Step 2: Convert to fraction form
    205,873,974/453,200,346 = 453,200,346/x
  3. Step 3: Cross multiply
    205,873,974x = 453,200,346 × 453,200,346
  4. Step 4: Simplify right side
    205,873,974x = 205,390,553,614,519,712
  5. Step 5: Solve for x
    x = 205,390,553,614,519,712/205,873,974
  6. Step 6: Final answer
    x = 997,651,862.56

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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.