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Finding the Third Proportional to 207,037,785 and 443,159,025

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Solution

The third proportional to 207,037,785 and 443,159,025 is: 948,570,433.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,037,785 : 443,159,025 = 443,159,025 : x
  2. Step 2: Convert to fraction form
    207,037,785/443,159,025 = 443,159,025/x
  3. Step 3: Cross multiply
    207,037,785x = 443,159,025 × 443,159,025
  4. Step 4: Simplify right side
    207,037,785x = 196,389,921,438,950,624
  5. Step 5: Solve for x
    x = 196,389,921,438,950,624/207,037,785
  6. Step 6: Final answer
    x = 948,570,433.36

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.