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Finding the Third Proportional to 115,563,439.13 and 256,043,919.38

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Solution

The third proportional to 115,563,439.13 and 256,043,919.38 is: 567,294,372.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,563,439.13 : 256,043,919.38 = 256,043,919.38 : x
  2. Step 2: Convert to fraction form
    115,563,439.13/256,043,919.38 = 256,043,919.38/x
  3. Step 3: Cross multiply
    115,563,439.13x = 256,043,919.38 × 256,043,919.38
  4. Step 4: Simplify right side
    115,563,439.13x = 65,558,488,648,911,504
  5. Step 5: Solve for x
    x = 65,558,488,648,911,504/115,563,439.13
  6. Step 6: Final answer
    x = 567,294,372.21

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.