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Finding the Third Proportional to 242,601,768 and 346,922,964

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Solution

The third proportional to 242,601,768 and 346,922,964 is: 496,103,321.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,601,768 : 346,922,964 = 346,922,964 : x
  2. Step 2: Convert to fraction form
    242,601,768/346,922,964 = 346,922,964/x
  3. Step 3: Cross multiply
    242,601,768x = 346,922,964 × 346,922,964
  4. Step 4: Simplify right side
    242,601,768x = 120,355,542,950,545,296
  5. Step 5: Solve for x
    x = 120,355,542,950,545,296/242,601,768
  6. Step 6: Final answer
    x = 496,103,321.68

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.