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Finding the Third Proportional to 211,708,269 and 458,595,897.75

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Solution

The third proportional to 211,708,269 and 458,595,897.75 is: 993,396,235.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,708,269 : 458,595,897.75 = 458,595,897.75 : x
  2. Step 2: Convert to fraction form
    211,708,269/458,595,897.75 = 458,595,897.75/x
  3. Step 3: Cross multiply
    211,708,269x = 458,595,897.75 × 458,595,897.75
  4. Step 4: Simplify right side
    211,708,269x = 210,310,197,433,128,448
  5. Step 5: Solve for x
    x = 210,310,197,433,128,448/211,708,269
  6. Step 6: Final answer
    x = 993,396,235.43

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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.