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Finding the Third Proportional to 82,507,521.38 and 174,850,224.75

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Solution

The third proportional to 82,507,521.38 and 174,850,224.75 is: 370,543,201.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,507,521.38 : 174,850,224.75 = 174,850,224.75 : x
  2. Step 2: Convert to fraction form
    82,507,521.38/174,850,224.75 = 174,850,224.75/x
  3. Step 3: Cross multiply
    82,507,521.38x = 174,850,224.75 × 174,850,224.75
  4. Step 4: Simplify right side
    82,507,521.38x = 30,572,601,095,125,512
  5. Step 5: Solve for x
    x = 30,572,601,095,125,512/82,507,521.38
  6. Step 6: Final answer
    x = 370,543,201.22

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.