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Finding the Third Proportional to 207,347,238 and 445,465,362

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Solution

The third proportional to 207,347,238 and 445,465,362 is: 957,038,977.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,347,238 : 445,465,362 = 445,465,362 : x
  2. Step 2: Convert to fraction form
    207,347,238/445,465,362 = 445,465,362/x
  3. Step 3: Cross multiply
    207,347,238x = 445,465,362 × 445,465,362
  4. Step 4: Simplify right side
    207,347,238x = 198,439,388,741,791,040
  5. Step 5: Solve for x
    x = 198,439,388,741,791,040/207,347,238
  6. Step 6: Final answer
    x = 957,038,977.98

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.