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Finding the Third Proportional to 240,193,525.50 and 524,430,676.13

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Solution

The third proportional to 240,193,525.50 and 524,430,676.13 is: 1,145,024,760.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,193,525.50 : 524,430,676.13 = 524,430,676.13 : x
  2. Step 2: Convert to fraction form
    240,193,525.50/524,430,676.13 = 524,430,676.13/x
  3. Step 3: Cross multiply
    240,193,525.50x = 524,430,676.13 × 524,430,676.13
  4. Step 4: Simplify right side
    240,193,525.50x = 275,027,534,060,924,640
  5. Step 5: Solve for x
    x = 275,027,534,060,924,640/240,193,525.50
  6. Step 6: Final answer
    x = 1,145,024,760.71

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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.