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Finding the Third Proportional to 254,886,208.88 and 548,992,135.13

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Solution

The third proportional to 254,886,208.88 and 548,992,135.13 is: 1,182,458,500.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,886,208.88 : 548,992,135.13 = 548,992,135.13 : x
  2. Step 2: Convert to fraction form
    254,886,208.88/548,992,135.13 = 548,992,135.13/x
  3. Step 3: Cross multiply
    254,886,208.88x = 548,992,135.13 × 548,992,135.13
  4. Step 4: Simplify right side
    254,886,208.88x = 301,392,364,429,106,240
  5. Step 5: Solve for x
    x = 301,392,364,429,106,240/254,886,208.88
  6. Step 6: Final answer
    x = 1,182,458,500.83

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.