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Finding the Third Proportional to 194,168,880 and 417,152,976

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Solution

The third proportional to 194,168,880 and 417,152,976 is: 896,212,644.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,168,880 : 417,152,976 = 417,152,976 : x
  2. Step 2: Convert to fraction form
    194,168,880/417,152,976 = 417,152,976/x
  3. Step 3: Cross multiply
    194,168,880x = 417,152,976 × 417,152,976
  4. Step 4: Simplify right side
    194,168,880x = 174,016,605,385,656,576
  5. Step 5: Solve for x
    x = 174,016,605,385,656,576/194,168,880
  6. Step 6: Final answer
    x = 896,212,644.30

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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.