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Finding the Third Proportional to 70,945.88 and 152,654.63

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Solution

The third proportional to 70,945.88 and 152,654.63 is: 328,467.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,945.88 : 152,654.63 = 152,654.63 : x
  2. Step 2: Convert to fraction form
    70,945.88/152,654.63 = 152,654.63/x
  3. Step 3: Cross multiply
    70,945.88x = 152,654.63 × 152,654.63
  4. Step 4: Simplify right side
    70,945.88x = 23,303,434,533.89
  5. Step 5: Solve for x
    x = 23,303,434,533.89/70,945.88
  6. Step 6: Final answer
    x = 328,467.79

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.