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Finding the Third Proportional to 101,811.50 and 210,607

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Solution

The third proportional to 101,811.50 and 210,607 is: 435,661.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,811.50 : 210,607 = 210,607 : x
  2. Step 2: Convert to fraction form
    101,811.50/210,607 = 210,607/x
  3. Step 3: Cross multiply
    101,811.50x = 210,607 × 210,607
  4. Step 4: Simplify right side
    101,811.50x = 44,355,308,449
  5. Step 5: Solve for x
    x = 44,355,308,449/101,811.50
  6. Step 6: Final answer
    x = 435,661.08

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.