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Finding the Third Proportional to 207,037,782 and 443,159,019

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Solution

The third proportional to 207,037,782 and 443,159,019 is: 948,570,421.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,037,782 : 443,159,019 = 443,159,019 : x
  2. Step 2: Convert to fraction form
    207,037,782/443,159,019 = 443,159,019/x
  3. Step 3: Cross multiply
    207,037,782x = 443,159,019 × 443,159,019
  4. Step 4: Simplify right side
    207,037,782x = 196,389,916,121,042,368
  5. Step 5: Solve for x
    x = 196,389,916,121,042,368/207,037,782
  6. Step 6: Final answer
    x = 948,570,421.42

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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.