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Finding the Third Proportional to 197,201,714 and 307,740,798

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Solution

The third proportional to 197,201,714 and 307,740,798 is: 480,241,255.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,201,714 : 307,740,798 = 307,740,798 : x
  2. Step 2: Convert to fraction form
    197,201,714/307,740,798 = 307,740,798/x
  3. Step 3: Cross multiply
    197,201,714x = 307,740,798 × 307,740,798
  4. Step 4: Simplify right side
    197,201,714x = 94,704,398,753,676,800
  5. Step 5: Solve for x
    x = 94,704,398,753,676,800/197,201,714
  6. Step 6: Final answer
    x = 480,241,255.68

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.