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Finding the Third Proportional to 94,735.50 and 207,301.50

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Solution

The third proportional to 94,735.50 and 207,301.50 is: 453,619.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,735.50 : 207,301.50 = 207,301.50 : x
  2. Step 2: Convert to fraction form
    94,735.50/207,301.50 = 207,301.50/x
  3. Step 3: Cross multiply
    94,735.50x = 207,301.50 × 207,301.50
  4. Step 4: Simplify right side
    94,735.50x = 42,973,911,902.25
  5. Step 5: Solve for x
    x = 42,973,911,902.25/94,735.50
  6. Step 6: Final answer
    x = 453,619.94

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.