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Finding the Third Proportional to 197,830,436 and 302,620,263

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Solution

The third proportional to 197,830,436 and 302,620,263 is: 462,916,755.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,830,436 : 302,620,263 = 302,620,263 : x
  2. Step 2: Convert to fraction form
    197,830,436/302,620,263 = 302,620,263/x
  3. Step 3: Cross multiply
    197,830,436x = 302,620,263 × 302,620,263
  4. Step 4: Simplify right side
    197,830,436x = 91,579,023,578,189,168
  5. Step 5: Solve for x
    x = 91,579,023,578,189,168/197,830,436
  6. Step 6: Final answer
    x = 462,916,755.53

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.