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Finding the Third Proportional to 48,003,745.50 and 103,513,491

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Solution

The third proportional to 48,003,745.50 and 103,513,491 is: 223,212,641.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,003,745.50 : 103,513,491 = 103,513,491 : x
  2. Step 2: Convert to fraction form
    48,003,745.50/103,513,491 = 103,513,491/x
  3. Step 3: Cross multiply
    48,003,745.50x = 103,513,491 × 103,513,491
  4. Step 4: Simplify right side
    48,003,745.50x = 10,715,042,819,007,080
  5. Step 5: Solve for x
    x = 10,715,042,819,007,080/48,003,745.50
  6. Step 6: Final answer
    x = 223,212,641.17

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.