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Finding the Third Proportional to 196,005,538 and 426,576,870

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Solution

The third proportional to 196,005,538 and 426,576,870 is: 928,381,044.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,005,538 : 426,576,870 = 426,576,870 : x
  2. Step 2: Convert to fraction form
    196,005,538/426,576,870 = 426,576,870/x
  3. Step 3: Cross multiply
    196,005,538x = 426,576,870 × 426,576,870
  4. Step 4: Simplify right side
    196,005,538x = 181,967,826,018,996,896
  5. Step 5: Solve for x
    x = 181,967,826,018,996,896/196,005,538
  6. Step 6: Final answer
    x = 928,381,044.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.