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Finding the Third Proportional to 295,133,886 and 441,074,186

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Solution

The third proportional to 295,133,886 and 441,074,186 is: 659,180,279.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,133,886 : 441,074,186 = 441,074,186 : x
  2. Step 2: Convert to fraction form
    295,133,886/441,074,186 = 441,074,186/x
  3. Step 3: Cross multiply
    295,133,886x = 441,074,186 × 441,074,186
  4. Step 4: Simplify right side
    295,133,886x = 194,546,437,555,562,592
  5. Step 5: Solve for x
    x = 194,546,437,555,562,592/295,133,886
  6. Step 6: Final answer
    x = 659,180,279.81

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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.