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Finding the Third Proportional to 96,157.50 and 210,412.50

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Solution

The third proportional to 96,157.50 and 210,412.50 is: 460,426.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,157.50 : 210,412.50 = 210,412.50 : x
  2. Step 2: Convert to fraction form
    96,157.50/210,412.50 = 210,412.50/x
  3. Step 3: Cross multiply
    96,157.50x = 210,412.50 × 210,412.50
  4. Step 4: Simplify right side
    96,157.50x = 44,273,420,156.25
  5. Step 5: Solve for x
    x = 44,273,420,156.25/96,157.50
  6. Step 6: Final answer
    x = 460,426.07

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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.