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Finding the Third Proportional to 205,446,120 and 455,189,202

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Solution

The third proportional to 205,446,120 and 455,189,202 is: 1,008,523,352.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,446,120 : 455,189,202 = 455,189,202 : x
  2. Step 2: Convert to fraction form
    205,446,120/455,189,202 = 455,189,202/x
  3. Step 3: Cross multiply
    205,446,120x = 455,189,202 × 455,189,202
  4. Step 4: Simplify right side
    205,446,120x = 207,197,209,617,396,800
  5. Step 5: Solve for x
    x = 207,197,209,617,396,800/205,446,120
  6. Step 6: Final answer
    x = 1,008,523,352.10

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.