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Finding the Third Proportional to 97,023.75 and 209,356.50

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Solution

The third proportional to 97,023.75 and 209,356.50 is: 451,746.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,023.75 : 209,356.50 = 209,356.50 : x
  2. Step 2: Convert to fraction form
    97,023.75/209,356.50 = 209,356.50/x
  3. Step 3: Cross multiply
    97,023.75x = 209,356.50 × 209,356.50
  4. Step 4: Simplify right side
    97,023.75x = 43,830,144,092.25
  5. Step 5: Solve for x
    x = 43,830,144,092.25/97,023.75
  6. Step 6: Final answer
    x = 451,746.55

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.