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Finding the Third Proportional to 196,985,401,848 and 399,452,153,964

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Solution

The third proportional to 196,985,401,848 and 399,452,153,964 is: 810,019,533,475.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,985,401,848 : 399,452,153,964 = 399,452,153,964 : x
  2. Step 2: Convert to fraction form
    196,985,401,848/399,452,153,964 = 399,452,153,964/x
  3. Step 3: Cross multiply
    196,985,401,848x = 399,452,153,964 × 399,452,153,964
  4. Step 4: Simplify right side
    196,985,401,848x = 159,562,023,306,479,156,592,640
  5. Step 5: Solve for x
    x = 159,562,023,306,479,156,592,640/196,985,401,848
  6. Step 6: Final answer
    x = 810,019,533,475.90

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.