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Finding the Third Proportional to 116,651.81 and 249,826.50

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Solution

The third proportional to 116,651.81 and 249,826.50 is: 535,039.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,651.81 : 249,826.50 = 249,826.50 : x
  2. Step 2: Convert to fraction form
    116,651.81/249,826.50 = 249,826.50/x
  3. Step 3: Cross multiply
    116,651.81x = 249,826.50 × 249,826.50
  4. Step 4: Simplify right side
    116,651.81x = 62,413,280,102.25
  5. Step 5: Solve for x
    x = 62,413,280,102.25/116,651.81
  6. Step 6: Final answer
    x = 535,039.09

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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.