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Finding the Third Proportional to 133,073,019 and 291,231,900

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Solution

The third proportional to 133,073,019 and 291,231,900 is: 637,364,510.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,073,019 : 291,231,900 = 291,231,900 : x
  2. Step 2: Convert to fraction form
    133,073,019/291,231,900 = 291,231,900/x
  3. Step 3: Cross multiply
    133,073,019x = 291,231,900 × 291,231,900
  4. Step 4: Simplify right side
    133,073,019x = 84,816,019,577,610,000
  5. Step 5: Solve for x
    x = 84,816,019,577,610,000/133,073,019
  6. Step 6: Final answer
    x = 637,364,510.21

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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.