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Finding the Third Proportional to 207,684,263 and 443,166,430

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Solution

The third proportional to 207,684,263 and 443,166,430 is: 945,649,332.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,684,263 : 443,166,430 = 443,166,430 : x
  2. Step 2: Convert to fraction form
    207,684,263/443,166,430 = 443,166,430/x
  3. Step 3: Cross multiply
    207,684,263x = 443,166,430 × 443,166,430
  4. Step 4: Simplify right side
    207,684,263x = 196,396,484,678,944,896
  5. Step 5: Solve for x
    x = 196,396,484,678,944,896/207,684,263
  6. Step 6: Final answer
    x = 945,649,332.51

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.