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Finding the Third Proportional to 224,370,362 and 335,318,916

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Solution

The third proportional to 224,370,362 and 335,318,916 is: 501,130,249.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,370,362 : 335,318,916 = 335,318,916 : x
  2. Step 2: Convert to fraction form
    224,370,362/335,318,916 = 335,318,916/x
  3. Step 3: Cross multiply
    224,370,362x = 335,318,916 × 335,318,916
  4. Step 4: Simplify right side
    224,370,362x = 112,438,775,427,415,056
  5. Step 5: Solve for x
    x = 112,438,775,427,415,056/224,370,362
  6. Step 6: Final answer
    x = 501,130,249.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.