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Finding the Third Proportional to 139,068.25 and 299,094.13

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Solution

The third proportional to 139,068.25 and 299,094.13 is: 643,261.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,068.25 : 299,094.13 = 299,094.13 : x
  2. Step 2: Convert to fraction form
    139,068.25/299,094.13 = 299,094.13/x
  3. Step 3: Cross multiply
    139,068.25x = 299,094.13 × 299,094.13
  4. Step 4: Simplify right side
    139,068.25x = 89,457,295,609.52
  5. Step 5: Solve for x
    x = 89,457,295,609.52/139,068.25
  6. Step 6: Final answer
    x = 643,261.82

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.