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Finding the Third Proportional to 211,708,254.75 and 458,595,873.75

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Solution

The third proportional to 211,708,254.75 and 458,595,873.75 is: 993,396,198.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,708,254.75 : 458,595,873.75 = 458,595,873.75 : x
  2. Step 2: Convert to fraction form
    211,708,254.75/458,595,873.75 = 458,595,873.75/x
  3. Step 3: Cross multiply
    211,708,254.75x = 458,595,873.75 × 458,595,873.75
  4. Step 4: Simplify right side
    211,708,254.75x = 210,310,175,420,525,952
  5. Step 5: Solve for x
    x = 210,310,175,420,525,952/211,708,254.75
  6. Step 6: Final answer
    x = 993,396,198.31

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Why These Related Problems?

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