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Finding the Third Proportional to 48,553,174.50 and 104,014,486.50

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Solution

The third proportional to 48,553,174.50 and 104,014,486.50 is: 222,828,136.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,553,174.50 : 104,014,486.50 = 104,014,486.50 : x
  2. Step 2: Convert to fraction form
    48,553,174.50/104,014,486.50 = 104,014,486.50/x
  3. Step 3: Cross multiply
    48,553,174.50x = 104,014,486.50 × 104,014,486.50
  4. Step 4: Simplify right side
    48,553,174.50x = 10,819,013,401,858,682
  5. Step 5: Solve for x
    x = 10,819,013,401,858,682/48,553,174.50
  6. Step 6: Final answer
    x = 222,828,136.64

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.