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Finding the Third Proportional to 197,830,442 and 302,620,272

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Solution

The third proportional to 197,830,442 and 302,620,272 is: 462,916,769.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,830,442 : 302,620,272 = 302,620,272 : x
  2. Step 2: Convert to fraction form
    197,830,442/302,620,272 = 302,620,272/x
  3. Step 3: Cross multiply
    197,830,442x = 302,620,272 × 302,620,272
  4. Step 4: Simplify right side
    197,830,442x = 91,579,029,025,353,984
  5. Step 5: Solve for x
    x = 91,579,029,025,353,984/197,830,442
  6. Step 6: Final answer
    x = 462,916,769.02

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