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Finding the Third Proportional to 118,824,657.75 and 181,765,826.25

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Solution

The third proportional to 118,824,657.75 and 181,765,826.25 is: 278,046,797.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,824,657.75 : 181,765,826.25 = 181,765,826.25 : x
  2. Step 2: Convert to fraction form
    118,824,657.75/181,765,826.25 = 181,765,826.25/x
  3. Step 3: Cross multiply
    118,824,657.75x = 181,765,826.25 × 181,765,826.25
  4. Step 4: Simplify right side
    118,824,657.75x = 33,038,815,592,345,188
  5. Step 5: Solve for x
    x = 33,038,815,592,345,188/118,824,657.75
  6. Step 6: Final answer
    x = 278,046,797.84

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.