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Finding the Third Proportional to 97,490,986 and 211,764,308

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Solution

The third proportional to 97,490,986 and 211,764,308 is: 459,982,240.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,490,986 : 211,764,308 = 211,764,308 : x
  2. Step 2: Convert to fraction form
    97,490,986/211,764,308 = 211,764,308/x
  3. Step 3: Cross multiply
    97,490,986x = 211,764,308 × 211,764,308
  4. Step 4: Simplify right side
    97,490,986x = 44,844,122,142,718,864
  5. Step 5: Solve for x
    x = 44,844,122,142,718,864/97,490,986
  6. Step 6: Final answer
    x = 459,982,240.23

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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.