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Finding the Third Proportional to 48,514,064 and 106,143,616

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Solution

The third proportional to 48,514,064 and 106,143,616 is: 232,230,950.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,514,064 : 106,143,616 = 106,143,616 : x
  2. Step 2: Convert to fraction form
    48,514,064/106,143,616 = 106,143,616/x
  3. Step 3: Cross multiply
    48,514,064x = 106,143,616 × 106,143,616
  4. Step 4: Simplify right side
    48,514,064x = 11,266,467,217,555,456
  5. Step 5: Solve for x
    x = 11,266,467,217,555,456/48,514,064
  6. Step 6: Final answer
    x = 232,230,950.96

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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.