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Finding the Third Proportional to 196,181,340 and 420,529,461

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Solution

The third proportional to 196,181,340 and 420,529,461 is: 901,436,536.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,181,340 : 420,529,461 = 420,529,461 : x
  2. Step 2: Convert to fraction form
    196,181,340/420,529,461 = 420,529,461/x
  3. Step 3: Cross multiply
    196,181,340x = 420,529,461 × 420,529,461
  4. Step 4: Simplify right side
    196,181,340x = 176,845,027,568,950,528
  5. Step 5: Solve for x
    x = 176,845,027,568,950,528/196,181,340
  6. Step 6: Final answer
    x = 901,436,536.06

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.