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Finding the Third Proportional to 96,741,322 and 210,488,450

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Solution

The third proportional to 96,741,322 and 210,488,450 is: 457,977,900.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,741,322 : 210,488,450 = 210,488,450 : x
  2. Step 2: Convert to fraction form
    96,741,322/210,488,450 = 210,488,450/x
  3. Step 3: Cross multiply
    96,741,322x = 210,488,450 × 210,488,450
  4. Step 4: Simplify right side
    96,741,322x = 44,305,387,583,402,496
  5. Step 5: Solve for x
    x = 44,305,387,583,402,496/96,741,322
  6. Step 6: Final answer
    x = 457,977,900.94

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.