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Finding the Third Proportional to 196,985,401,839 and 399,452,153,948

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Solution

The third proportional to 196,985,401,839 and 399,452,153,948 is: 810,019,533,448.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,985,401,839 : 399,452,153,948 = 399,452,153,948 : x
  2. Step 2: Convert to fraction form
    196,985,401,839/399,452,153,948 = 399,452,153,948/x
  3. Step 3: Cross multiply
    196,985,401,839x = 399,452,153,948 × 399,452,153,948
  4. Step 4: Simplify right side
    196,985,401,839x = 159,562,023,293,696,696,385,536
  5. Step 5: Solve for x
    x = 159,562,023,293,696,696,385,536/196,985,401,839
  6. Step 6: Final answer
    x = 810,019,533,448.02

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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.