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Finding the Third Proportional to 53,978,432.06 and 117,540,784.13

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Solution

The third proportional to 53,978,432.06 and 117,540,784.13 is: 255,951,042.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,978,432.06 : 117,540,784.13 = 117,540,784.13 : x
  2. Step 2: Convert to fraction form
    53,978,432.06/117,540,784.13 = 117,540,784.13/x
  3. Step 3: Cross multiply
    53,978,432.06x = 117,540,784.13 × 117,540,784.13
  4. Step 4: Simplify right side
    53,978,432.06x = 13,815,835,932,719,852
  5. Step 5: Solve for x
    x = 13,815,835,932,719,852/53,978,432.06
  6. Step 6: Final answer
    x = 255,951,042.01

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.