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Finding the Third Proportional to 196,985,401,836.50 and 399,452,153,944

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Solution

The third proportional to 196,985,401,836.50 and 399,452,153,944 is: 810,019,533,442.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,985,401,836.50 : 399,452,153,944 = 399,452,153,944 : x
  2. Step 2: Convert to fraction form
    196,985,401,836.50/399,452,153,944 = 399,452,153,944/x
  3. Step 3: Cross multiply
    196,985,401,836.50x = 399,452,153,944 × 399,452,153,944
  4. Step 4: Simplify right side
    196,985,401,836.50x = 159,562,023,290,501,072,945,152
  5. Step 5: Solve for x
    x = 159,562,023,290,501,072,945,152/196,985,401,836.50
  6. Step 6: Final answer
    x = 810,019,533,442.07

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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.