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Finding the Third Proportional to 46,986.75 and 105,802.88

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Solution

The third proportional to 46,986.75 and 105,802.88 is: 238,242.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,986.75 : 105,802.88 = 105,802.88 : x
  2. Step 2: Convert to fraction form
    46,986.75/105,802.88 = 105,802.88/x
  3. Step 3: Cross multiply
    46,986.75x = 105,802.88 × 105,802.88
  4. Step 4: Simplify right side
    46,986.75x = 11,194,248,358.27
  5. Step 5: Solve for x
    x = 11,194,248,358.27/46,986.75
  6. Step 6: Final answer
    x = 238,242.66

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.