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Finding the Third Proportional to 255,903,046.88 and 552,583,100.25

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Solution

The third proportional to 255,903,046.88 and 552,583,100.25 is: 1,193,217,847.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,903,046.88 : 552,583,100.25 = 552,583,100.25 : x
  2. Step 2: Convert to fraction form
    255,903,046.88/552,583,100.25 = 552,583,100.25/x
  3. Step 3: Cross multiply
    255,903,046.88x = 552,583,100.25 × 552,583,100.25
  4. Step 4: Simplify right side
    255,903,046.88x = 305,348,082,681,901,568
  5. Step 5: Solve for x
    x = 305,348,082,681,901,568/255,903,046.88
  6. Step 6: Final answer
    x = 1,193,217,847.19

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.