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Finding the Third Proportional to 47,498,467.50 and 103,742,019

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Solution

The third proportional to 47,498,467.50 and 103,742,019 is: 226,584,289.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,498,467.50 : 103,742,019 = 103,742,019 : x
  2. Step 2: Convert to fraction form
    47,498,467.50/103,742,019 = 103,742,019/x
  3. Step 3: Cross multiply
    47,498,467.50x = 103,742,019 × 103,742,019
  4. Step 4: Simplify right side
    47,498,467.50x = 10,762,406,506,196,360
  5. Step 5: Solve for x
    x = 10,762,406,506,196,360/47,498,467.50
  6. Step 6: Final answer
    x = 226,584,289.40

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.