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Finding the Third Proportional to 57,089,140 and 86,972,082

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Solution

The third proportional to 57,089,140 and 86,972,082 is: 132,497,057.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,089,140 : 86,972,082 = 86,972,082 : x
  2. Step 2: Convert to fraction form
    57,089,140/86,972,082 = 86,972,082/x
  3. Step 3: Cross multiply
    57,089,140x = 86,972,082 × 86,972,082
  4. Step 4: Simplify right side
    57,089,140x = 7,564,143,047,414,724
  5. Step 5: Solve for x
    x = 7,564,143,047,414,724/57,089,140
  6. Step 6: Final answer
    x = 132,497,057.19

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.