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Finding the Third Proportional to 196,365,620.25 and 427,207,608

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Solution

The third proportional to 196,365,620.25 and 427,207,608 is: 929,421,046.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,365,620.25 : 427,207,608 = 427,207,608 : x
  2. Step 2: Convert to fraction form
    196,365,620.25/427,207,608 = 427,207,608/x
  3. Step 3: Cross multiply
    196,365,620.25x = 427,207,608 × 427,207,608
  4. Step 4: Simplify right side
    196,365,620.25x = 182,506,340,333,081,664
  5. Step 5: Solve for x
    x = 182,506,340,333,081,664/196,365,620.25
  6. Step 6: Final answer
    x = 929,421,046.82

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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.