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Finding the Third Proportional to 82,507,538 and 174,850,254

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Solution

The third proportional to 82,507,538 and 174,850,254 is: 370,543,250.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,507,538 : 174,850,254 = 174,850,254 : x
  2. Step 2: Convert to fraction form
    82,507,538/174,850,254 = 174,850,254/x
  3. Step 3: Cross multiply
    82,507,538x = 174,850,254 × 174,850,254
  4. Step 4: Simplify right side
    82,507,538x = 30,572,611,323,864,516
  5. Step 5: Solve for x
    x = 30,572,611,323,864,516/82,507,538
  6. Step 6: Final answer
    x = 370,543,250.53

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Why These Related Problems?

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