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Finding the Third Proportional to 194,947,942 and 428,154,046

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Solution

The third proportional to 194,947,942 and 428,154,046 is: 940,332,507.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,947,942 : 428,154,046 = 428,154,046 : x
  2. Step 2: Convert to fraction form
    194,947,942/428,154,046 = 428,154,046/x
  3. Step 3: Cross multiply
    194,947,942x = 428,154,046 × 428,154,046
  4. Step 4: Simplify right side
    194,947,942x = 183,315,887,106,170,112
  5. Step 5: Solve for x
    x = 183,315,887,106,170,112/194,947,942
  6. Step 6: Final answer
    x = 940,332,507.36

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.