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Finding the Third Proportional to 138,901.50 and 207,437.63

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Solution

The third proportional to 138,901.50 and 207,437.63 is: 309,790.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,901.50 : 207,437.63 = 207,437.63 : x
  2. Step 2: Convert to fraction form
    138,901.50/207,437.63 = 207,437.63/x
  3. Step 3: Cross multiply
    138,901.50x = 207,437.63 × 207,437.63
  4. Step 4: Simplify right side
    138,901.50x = 43,030,368,265.64
  5. Step 5: Solve for x
    x = 43,030,368,265.64/138,901.50
  6. Step 6: Final answer
    x = 309,790.52

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.