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Finding the Third Proportional to 105,664.50 and 249,184.69

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Solution

The third proportional to 105,664.50 and 249,184.69 is: 587,643.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,664.50 : 249,184.69 = 249,184.69 : x
  2. Step 2: Convert to fraction form
    105,664.50/249,184.69 = 249,184.69/x
  3. Step 3: Cross multiply
    105,664.50x = 249,184.69 × 249,184.69
  4. Step 4: Simplify right side
    105,664.50x = 62,093,008,484.47
  5. Step 5: Solve for x
    x = 62,093,008,484.47/105,664.50
  6. Step 6: Final answer
    x = 587,643.04

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.