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Finding the Third Proportional to 97,098,793.03 and 207,970,762.78

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Solution

The third proportional to 97,098,793.03 and 207,970,762.78 is: 445,441,563.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,098,793.03 : 207,970,762.78 = 207,970,762.78 : x
  2. Step 2: Convert to fraction form
    97,098,793.03/207,970,762.78 = 207,970,762.78/x
  3. Step 3: Cross multiply
    97,098,793.03x = 207,970,762.78 × 207,970,762.78
  4. Step 4: Simplify right side
    97,098,793.03x = 43,251,838,171,814,960
  5. Step 5: Solve for x
    x = 43,251,838,171,814,960/97,098,793.03
  6. Step 6: Final answer
    x = 445,441,563.40

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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.