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Finding the Third Proportional to 94,092,569 and 203,820,409

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Solution

The third proportional to 94,092,569 and 203,820,409 is: 441,509,457.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,092,569 : 203,820,409 = 203,820,409 : x
  2. Step 2: Convert to fraction form
    94,092,569/203,820,409 = 203,820,409/x
  3. Step 3: Cross multiply
    94,092,569x = 203,820,409 × 203,820,409
  4. Step 4: Simplify right side
    94,092,569x = 41,542,759,124,927,280
  5. Step 5: Solve for x
    x = 41,542,759,124,927,280/94,092,569
  6. Step 6: Final answer
    x = 441,509,457.83

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.