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Finding the Third Proportional to 53,744,877.75 and 117,549,198.75

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Solution

The third proportional to 53,744,877.75 and 117,549,198.75 is: 257,100,112.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,744,877.75 : 117,549,198.75 = 117,549,198.75 : x
  2. Step 2: Convert to fraction form
    53,744,877.75/117,549,198.75 = 117,549,198.75/x
  3. Step 3: Cross multiply
    53,744,877.75x = 117,549,198.75 × 117,549,198.75
  4. Step 4: Simplify right side
    53,744,877.75x = 13,817,814,126,767,002
  5. Step 5: Solve for x
    x = 13,817,814,126,767,002/53,744,877.75
  6. Step 6: Final answer
    x = 257,100,112.70

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.