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Finding the Third Proportional to 133,827,114 and 204,586,974

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Solution

The third proportional to 133,827,114 and 204,586,974 is: 312,760,461.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,827,114 : 204,586,974 = 204,586,974 : x
  2. Step 2: Convert to fraction form
    133,827,114/204,586,974 = 204,586,974/x
  3. Step 3: Cross multiply
    133,827,114x = 204,586,974 × 204,586,974
  4. Step 4: Simplify right side
    133,827,114x = 41,855,829,930,476,672
  5. Step 5: Solve for x
    x = 41,855,829,930,476,672/133,827,114
  6. Step 6: Final answer
    x = 312,760,461.46

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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.