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Finding the Third Proportional to 254,768,550.75 and 557,226,550.13

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Solution

The third proportional to 254,768,550.75 and 557,226,550.13 is: 1,218,758,858.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,768,550.75 : 557,226,550.13 = 557,226,550.13 : x
  2. Step 2: Convert to fraction form
    254,768,550.75/557,226,550.13 = 557,226,550.13/x
  3. Step 3: Cross multiply
    254,768,550.75x = 557,226,550.13 × 557,226,550.13
  4. Step 4: Simplify right side
    254,768,550.75x = 310,501,428,164,209,152
  5. Step 5: Solve for x
    x = 310,501,428,164,209,152/254,768,550.75
  6. Step 6: Final answer
    x = 1,218,758,858.78

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.