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Finding the Third Proportional to 133,072,490 and 291,230,568

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Solution

The third proportional to 133,072,490 and 291,230,568 is: 637,361,213.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,072,490 : 291,230,568 = 291,230,568 : x
  2. Step 2: Convert to fraction form
    133,072,490/291,230,568 = 291,230,568/x
  3. Step 3: Cross multiply
    133,072,490x = 291,230,568 × 291,230,568
  4. Step 4: Simplify right side
    133,072,490x = 84,815,243,737,602,624
  5. Step 5: Solve for x
    x = 84,815,243,737,602,624/133,072,490
  6. Step 6: Final answer
    x = 637,361,213.71

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.