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Finding the Third Proportional to 194,898,835.97 and 433,373,976

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Solution

The third proportional to 194,898,835.97 and 433,373,976 is: 963,643,534.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,898,835.97 : 433,373,976 = 433,373,976 : x
  2. Step 2: Convert to fraction form
    194,898,835.97/433,373,976 = 433,373,976/x
  3. Step 3: Cross multiply
    194,898,835.97x = 433,373,976 × 433,373,976
  4. Step 4: Simplify right side
    194,898,835.97x = 187,813,003,074,048,576
  5. Step 5: Solve for x
    x = 187,813,003,074,048,576/194,898,835.97
  6. Step 6: Final answer
    x = 963,643,534.04

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.