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Finding the Third Proportional to 262,097,228.25 and 568,746,906.75

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Solution

The third proportional to 262,097,228.25 and 568,746,906.75 is: 1,234,171,937.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,097,228.25 : 568,746,906.75 = 568,746,906.75 : x
  2. Step 2: Convert to fraction form
    262,097,228.25/568,746,906.75 = 568,746,906.75/x
  3. Step 3: Cross multiply
    262,097,228.25x = 568,746,906.75 × 568,746,906.75
  4. Step 4: Simplify right side
    262,097,228.25x = 323,473,043,937,693,184
  5. Step 5: Solve for x
    x = 323,473,043,937,693,184/262,097,228.25
  6. Step 6: Final answer
    x = 1,234,171,937.25

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.