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Finding the Third Proportional to 48,514,066 and 106,143,620

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Solution

The third proportional to 48,514,066 and 106,143,620 is: 232,230,958.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,514,066 : 106,143,620 = 106,143,620 : x
  2. Step 2: Convert to fraction form
    48,514,066/106,143,620 = 106,143,620/x
  3. Step 3: Cross multiply
    48,514,066x = 106,143,620 × 106,143,620
  4. Step 4: Simplify right side
    48,514,066x = 11,266,468,066,704,400
  5. Step 5: Solve for x
    x = 11,266,468,066,704,400/48,514,066
  6. Step 6: Final answer
    x = 232,230,958.89

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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.