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Finding the Third Proportional to 295,133,882 and 441,074,180

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Solution

The third proportional to 295,133,882 and 441,074,180 is: 659,180,270.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,133,882 : 441,074,180 = 441,074,180 : x
  2. Step 2: Convert to fraction form
    295,133,882/441,074,180 = 441,074,180/x
  3. Step 3: Cross multiply
    295,133,882x = 441,074,180 × 441,074,180
  4. Step 4: Simplify right side
    295,133,882x = 194,546,432,262,672,384
  5. Step 5: Solve for x
    x = 194,546,432,262,672,384/295,133,882
  6. Step 6: Final answer
    x = 659,180,270.81

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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.