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Finding the Third Proportional to 48,514,144 and 106,143,776

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Solution

The third proportional to 48,514,144 and 106,143,776 is: 232,231,268.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,514,144 : 106,143,776 = 106,143,776 : x
  2. Step 2: Convert to fraction form
    48,514,144/106,143,776 = 106,143,776/x
  3. Step 3: Cross multiply
    48,514,144x = 106,143,776 × 106,143,776
  4. Step 4: Simplify right side
    48,514,144x = 11,266,501,183,538,176
  5. Step 5: Solve for x
    x = 11,266,501,183,538,176/48,514,144
  6. Step 6: Final answer
    x = 232,231,268.13

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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.