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Finding the Third Proportional to 44,345.81 and 98,533.13

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Solution

The third proportional to 44,345.81 and 98,533.13 is: 218,933.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,345.81 : 98,533.13 = 98,533.13 : x
  2. Step 2: Convert to fraction form
    44,345.81/98,533.13 = 98,533.13/x
  3. Step 3: Cross multiply
    44,345.81x = 98,533.13 × 98,533.13
  4. Step 4: Simplify right side
    44,345.81x = 9,708,776,722.27
  5. Step 5: Solve for x
    x = 9,708,776,722.27/44,345.81
  6. Step 6: Final answer
    x = 218,933.34

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.