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Finding the Third Proportional to 43,742,240 and 102,201,616

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Solution

The third proportional to 43,742,240 and 102,201,616 is: 238,789,104.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,742,240 : 102,201,616 = 102,201,616 : x
  2. Step 2: Convert to fraction form
    43,742,240/102,201,616 = 102,201,616/x
  3. Step 3: Cross multiply
    43,742,240x = 102,201,616 × 102,201,616
  4. Step 4: Simplify right side
    43,742,240x = 10,445,170,313,011,456
  5. Step 5: Solve for x
    x = 10,445,170,313,011,456/43,742,240
  6. Step 6: Final answer
    x = 238,789,104.38

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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.