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Finding the Third Proportional to 53,268,129 and 124,458,381

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Solution

The third proportional to 53,268,129 and 124,458,381 is: 290,790,926.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,268,129 : 124,458,381 = 124,458,381 : x
  2. Step 2: Convert to fraction form
    53,268,129/124,458,381 = 124,458,381/x
  3. Step 3: Cross multiply
    53,268,129x = 124,458,381 × 124,458,381
  4. Step 4: Simplify right side
    53,268,129x = 15,489,888,601,141,160
  5. Step 5: Solve for x
    x = 15,489,888,601,141,160/53,268,129
  6. Step 6: Final answer
    x = 290,790,926.81

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.