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Finding the Third Proportional to 219,209,592.50 and 477,008,903

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Solution

The third proportional to 219,209,592.50 and 477,008,903 is: 1,037,990,586.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,209,592.50 : 477,008,903 = 477,008,903 : x
  2. Step 2: Convert to fraction form
    219,209,592.50/477,008,903 = 477,008,903/x
  3. Step 3: Cross multiply
    219,209,592.50x = 477,008,903 × 477,008,903
  4. Step 4: Simplify right side
    219,209,592.50x = 227,537,493,541,263,424
  5. Step 5: Solve for x
    x = 227,537,493,541,263,424/219,209,592.50
  6. Step 6: Final answer
    x = 1,037,990,586.75

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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.