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Finding the Third Proportional to 70,216.88 and 152,097.75

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Solution

The third proportional to 70,216.88 and 152,097.75 is: 329,461.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,216.88 : 152,097.75 = 152,097.75 : x
  2. Step 2: Convert to fraction form
    70,216.88/152,097.75 = 152,097.75/x
  3. Step 3: Cross multiply
    70,216.88x = 152,097.75 × 152,097.75
  4. Step 4: Simplify right side
    70,216.88x = 23,133,725,555.06
  5. Step 5: Solve for x
    x = 23,133,725,555.06/70,216.88
  6. Step 6: Final answer
    x = 329,461.05

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.