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Finding the Third Proportional to 194,898,840 and 433,373,986.50

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Solution

The third proportional to 194,898,840 and 433,373,986.50 is: 963,643,560.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,898,840 : 433,373,986.50 = 433,373,986.50 : x
  2. Step 2: Convert to fraction form
    194,898,840/433,373,986.50 = 433,373,986.50/x
  3. Step 3: Cross multiply
    194,898,840x = 433,373,986.50 × 433,373,986.50
  4. Step 4: Simplify right side
    194,898,840x = 187,813,012,174,902,176
  5. Step 5: Solve for x
    x = 187,813,012,174,902,176/194,898,840
  6. Step 6: Final answer
    x = 963,643,560.81

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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.