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Finding the Third Proportional to 94,723.88 and 209,210.25

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Solution

The third proportional to 94,723.88 and 209,210.25 is: 462,068.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,723.88 : 209,210.25 = 209,210.25 : x
  2. Step 2: Convert to fraction form
    94,723.88/209,210.25 = 209,210.25/x
  3. Step 3: Cross multiply
    94,723.88x = 209,210.25 × 209,210.25
  4. Step 4: Simplify right side
    94,723.88x = 43,768,928,705.06
  5. Step 5: Solve for x
    x = 43,768,928,705.06/94,723.88
  6. Step 6: Final answer
    x = 462,068.60

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.