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Finding the Third Proportional to 194,898,818.67 and 433,373,942.67

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Solution

The third proportional to 194,898,818.67 and 433,373,942.67 is: 963,643,471.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,898,818.67 : 433,373,942.67 = 433,373,942.67 : x
  2. Step 2: Convert to fraction form
    194,898,818.67/433,373,942.67 = 433,373,942.67/x
  3. Step 3: Cross multiply
    194,898,818.67x = 433,373,942.67 × 433,373,942.67
  4. Step 4: Simplify right side
    194,898,818.67x = 187,812,974,186,969,952
  5. Step 5: Solve for x
    x = 187,812,974,186,969,952/194,898,818.67
  6. Step 6: Final answer
    x = 963,643,471.35

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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.