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Finding the Third Proportional to 140,094 and 299,869.50

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Solution

The third proportional to 140,094 and 299,869.50 is: 641,867.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,094 : 299,869.50 = 299,869.50 : x
  2. Step 2: Convert to fraction form
    140,094/299,869.50 = 299,869.50/x
  3. Step 3: Cross multiply
    140,094x = 299,869.50 × 299,869.50
  4. Step 4: Simplify right side
    140,094x = 89,921,717,030.25
  5. Step 5: Solve for x
    x = 89,921,717,030.25/140,094
  6. Step 6: Final answer
    x = 641,867.01

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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.