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Finding the Third Proportional to 194,898,838.50 and 433,373,982.75

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Solution

The third proportional to 194,898,838.50 and 433,373,982.75 is: 963,643,551.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,898,838.50 : 433,373,982.75 = 433,373,982.75 : x
  2. Step 2: Convert to fraction form
    194,898,838.50/433,373,982.75 = 433,373,982.75/x
  3. Step 3: Cross multiply
    194,898,838.50x = 433,373,982.75 × 433,373,982.75
  4. Step 4: Simplify right side
    194,898,838.50x = 187,813,008,924,597,312
  5. Step 5: Solve for x
    x = 187,813,008,924,597,312/194,898,838.50
  6. Step 6: Final answer
    x = 963,643,551.55

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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.