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Finding the Third Proportional to 113,285,985.75 and 174,933,383.06

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Solution

The third proportional to 113,285,985.75 and 174,933,383.06 is: 270,127,750.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,285,985.75 : 174,933,383.06 = 174,933,383.06 : x
  2. Step 2: Convert to fraction form
    113,285,985.75/174,933,383.06 = 174,933,383.06/x
  3. Step 3: Cross multiply
    113,285,985.75x = 174,933,383.06 × 174,933,383.06
  4. Step 4: Simplify right side
    113,285,985.75x = 30,601,688,509,691,360
  5. Step 5: Solve for x
    x = 30,601,688,509,691,360/113,285,985.75
  6. Step 6: Final answer
    x = 270,127,750.64

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.