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Finding the Third Proportional to 219,209,548.50 and 477,008,811

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Solution

The third proportional to 219,209,548.50 and 477,008,811 is: 1,037,990,394.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,209,548.50 : 477,008,811 = 477,008,811 : x
  2. Step 2: Convert to fraction form
    219,209,548.50/477,008,811 = 477,008,811/x
  3. Step 3: Cross multiply
    219,209,548.50x = 477,008,811 × 477,008,811
  4. Step 4: Simplify right side
    219,209,548.50x = 227,537,405,771,633,728
  5. Step 5: Solve for x
    x = 227,537,405,771,633,728/219,209,548.50
  6. Step 6: Final answer
    x = 1,037,990,394.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.