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Finding the Third Proportional to 201,079,993 and 307,468,392

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Solution

The third proportional to 201,079,993 and 307,468,392 is: 470,145,292.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,079,993 : 307,468,392 = 307,468,392 : x
  2. Step 2: Convert to fraction form
    201,079,993/307,468,392 = 307,468,392/x
  3. Step 3: Cross multiply
    201,079,993x = 307,468,392 × 307,468,392
  4. Step 4: Simplify right side
    201,079,993x = 94,536,812,079,065,664
  5. Step 5: Solve for x
    x = 94,536,812,079,065,664/201,079,993
  6. Step 6: Final answer
    x = 470,145,292.27

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Why These Related Problems?

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