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Finding the Third Proportional to 207,347,100.75 and 445,465,078.88

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Solution

The third proportional to 207,347,100.75 and 445,465,078.88 is: 957,038,394.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,347,100.75 : 445,465,078.88 = 445,465,078.88 : x
  2. Step 2: Convert to fraction form
    207,347,100.75/445,465,078.88 = 445,465,078.88/x
  3. Step 3: Cross multiply
    207,347,100.75x = 445,465,078.88 × 445,465,078.88
  4. Step 4: Simplify right side
    207,347,100.75x = 198,439,136,497,109,984
  5. Step 5: Solve for x
    x = 198,439,136,497,109,984/207,347,100.75
  6. Step 6: Final answer
    x = 957,038,394.94

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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.