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Finding the Third Proportional to 43,742,242 and 102,201,621

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Solution

The third proportional to 43,742,242 and 102,201,621 is: 238,789,116.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,742,242 : 102,201,621 = 102,201,621 : x
  2. Step 2: Convert to fraction form
    43,742,242/102,201,621 = 102,201,621/x
  3. Step 3: Cross multiply
    43,742,242x = 102,201,621 × 102,201,621
  4. Step 4: Simplify right side
    43,742,242x = 10,445,171,335,027,640
  5. Step 5: Solve for x
    x = 10,445,171,335,027,640/43,742,242
  6. Step 6: Final answer
    x = 238,789,116.82

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.