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Finding the Third Proportional to 174,621,678 and 291,018,591

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Solution

The third proportional to 174,621,678 and 291,018,591 is: 485,001,755.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,621,678 : 291,018,591 = 291,018,591 : x
  2. Step 2: Convert to fraction form
    174,621,678/291,018,591 = 291,018,591/x
  3. Step 3: Cross multiply
    174,621,678x = 291,018,591 × 291,018,591
  4. Step 4: Simplify right side
    174,621,678x = 84,691,820,307,625,280
  5. Step 5: Solve for x
    x = 84,691,820,307,625,280/174,621,678
  6. Step 6: Final answer
    x = 485,001,755.09

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These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.