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Finding the Third Proportional to 43,742,224 and 102,201,576

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Solution

The third proportional to 43,742,224 and 102,201,576 is: 238,789,004.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,742,224 : 102,201,576 = 102,201,576 : x
  2. Step 2: Convert to fraction form
    43,742,224/102,201,576 = 102,201,576/x
  3. Step 3: Cross multiply
    43,742,224x = 102,201,576 × 102,201,576
  4. Step 4: Simplify right side
    43,742,224x = 10,445,162,136,883,776
  5. Step 5: Solve for x
    x = 10,445,162,136,883,776/43,742,224
  6. Step 6: Final answer
    x = 238,789,004.80

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