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Finding the Third Proportional to 49,037,982.50 and 104,053,405

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Solution

The third proportional to 49,037,982.50 and 104,053,405 is: 220,790,304.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,037,982.50 : 104,053,405 = 104,053,405 : x
  2. Step 2: Convert to fraction form
    49,037,982.50/104,053,405 = 104,053,405/x
  3. Step 3: Cross multiply
    49,037,982.50x = 104,053,405 × 104,053,405
  4. Step 4: Simplify right side
    49,037,982.50x = 10,827,111,092,094,024
  5. Step 5: Solve for x
    x = 10,827,111,092,094,024/49,037,982.50
  6. Step 6: Final answer
    x = 220,790,304.58

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.