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Finding the Third Proportional to 196,935,288 and 430,932,720

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Solution

The third proportional to 196,935,288 and 430,932,720 is: 942,964,620.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,935,288 : 430,932,720 = 430,932,720 : x
  2. Step 2: Convert to fraction form
    196,935,288/430,932,720 = 430,932,720/x
  3. Step 3: Cross multiply
    196,935,288x = 430,932,720 × 430,932,720
  4. Step 4: Simplify right side
    196,935,288x = 185,703,009,166,598,400
  5. Step 5: Solve for x
    x = 185,703,009,166,598,400/196,935,288
  6. Step 6: Final answer
    x = 942,964,620.78

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.