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Finding the Third Proportional to 133,073,016 and 291,231,894

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Solution

The third proportional to 133,073,016 and 291,231,894 is: 637,364,498.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,073,016 : 291,231,894 = 291,231,894 : x
  2. Step 2: Convert to fraction form
    133,073,016/291,231,894 = 291,231,894/x
  3. Step 3: Cross multiply
    133,073,016x = 291,231,894 × 291,231,894
  4. Step 4: Simplify right side
    133,073,016x = 84,816,016,082,827,232
  5. Step 5: Solve for x
    x = 84,816,016,082,827,232/133,073,016
  6. Step 6: Final answer
    x = 637,364,498.32

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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.