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Finding the Third Proportional to 140,095 and 299,871.50

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Solution

The third proportional to 140,095 and 299,871.50 is: 641,870.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,095 : 299,871.50 = 299,871.50 : x
  2. Step 2: Convert to fraction form
    140,095/299,871.50 = 299,871.50/x
  3. Step 3: Cross multiply
    140,095x = 299,871.50 × 299,871.50
  4. Step 4: Simplify right side
    140,095x = 89,922,916,512.25
  5. Step 5: Solve for x
    x = 89,922,916,512.25/140,095
  6. Step 6: Final answer
    x = 641,870.99

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.