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Finding the Third Proportional to 45,698.63 and 105,784.31

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Solution

The third proportional to 45,698.63 and 105,784.31 is: 244,872.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,698.63 : 105,784.31 = 105,784.31 : x
  2. Step 2: Convert to fraction form
    45,698.63/105,784.31 = 105,784.31/x
  3. Step 3: Cross multiply
    45,698.63x = 105,784.31 × 105,784.31
  4. Step 4: Simplify right side
    45,698.63x = 11,190,320,771.10
  5. Step 5: Solve for x
    x = 11,190,320,771.10/45,698.63
  6. Step 6: Final answer
    x = 244,872.15

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.