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Finding the Third Proportional to 194,898,838 and 433,373,980

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Solution

The third proportional to 194,898,838 and 433,373,980 is: 963,643,541.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,898,838 : 433,373,980 = 433,373,980 : x
  2. Step 2: Convert to fraction form
    194,898,838/433,373,980 = 433,373,980/x
  3. Step 3: Cross multiply
    194,898,838x = 433,373,980 × 433,373,980
  4. Step 4: Simplify right side
    194,898,838x = 187,813,006,541,040,384
  5. Step 5: Solve for x
    x = 187,813,006,541,040,384/194,898,838
  6. Step 6: Final answer
    x = 963,643,541.79

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