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Finding the Third Proportional to 47,722.25 and 103,646.50

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Solution

The third proportional to 47,722.25 and 103,646.50 is: 225,106.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,722.25 : 103,646.50 = 103,646.50 : x
  2. Step 2: Convert to fraction form
    47,722.25/103,646.50 = 103,646.50/x
  3. Step 3: Cross multiply
    47,722.25x = 103,646.50 × 103,646.50
  4. Step 4: Simplify right side
    47,722.25x = 10,742,596,962.25
  5. Step 5: Solve for x
    x = 10,742,596,962.25/47,722.25
  6. Step 6: Final answer
    x = 225,106.67

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.