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Finding the Third Proportional to 49,498.28 and 101,303.16

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Solution

The third proportional to 49,498.28 and 101,303.16 is: 207,327.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,498.28 : 101,303.16 = 101,303.16 : x
  2. Step 2: Convert to fraction form
    49,498.28/101,303.16 = 101,303.16/x
  3. Step 3: Cross multiply
    49,498.28x = 101,303.16 × 101,303.16
  4. Step 4: Simplify right side
    49,498.28x = 10,262,329,466.21
  5. Step 5: Solve for x
    x = 10,262,329,466.21/49,498.28
  6. Step 6: Final answer
    x = 207,327.00

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.