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Finding the Third Proportional to 96,050.73 and 210,784.94

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Solution

The third proportional to 96,050.73 and 210,784.94 is: 462,571.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,050.73 : 210,784.94 = 210,784.94 : x
  2. Step 2: Convert to fraction form
    96,050.73/210,784.94 = 210,784.94/x
  3. Step 3: Cross multiply
    96,050.73x = 210,784.94 × 210,784.94
  4. Step 4: Simplify right side
    96,050.73x = 44,430,290,700.26
  5. Step 5: Solve for x
    x = 44,430,290,700.26/96,050.73
  6. Step 6: Final answer
    x = 462,571.07

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Why These Related Problems?

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