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Finding the Third Proportional to 142,821 and 209,811.94

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Solution

The third proportional to 142,821 and 209,811.94 is: 308,225.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,821 : 209,811.94 = 209,811.94 : x
  2. Step 2: Convert to fraction form
    142,821/209,811.94 = 209,811.94/x
  3. Step 3: Cross multiply
    142,821x = 209,811.94 × 209,811.94
  4. Step 4: Simplify right side
    142,821x = 44,021,049,117.50
  5. Step 5: Solve for x
    x = 44,021,049,117.50/142,821
  6. Step 6: Final answer
    x = 308,225.32

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.