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Finding the Third Proportional to 139,698 and 301,719.09

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Solution

The third proportional to 139,698 and 301,719.09 is: 651,651.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,698 : 301,719.09 = 301,719.09 : x
  2. Step 2: Convert to fraction form
    139,698/301,719.09 = 301,719.09/x
  3. Step 3: Cross multiply
    139,698x = 301,719.09 × 301,719.09
  4. Step 4: Simplify right side
    139,698x = 91,034,411,533.32
  5. Step 5: Solve for x
    x = 91,034,411,533.32/139,698
  6. Step 6: Final answer
    x = 651,651.50

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.