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Finding the Third Proportional to 182,093,433 and 400,507,538

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Solution

The third proportional to 182,093,433 and 400,507,538 is: 880,901,004.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,093,433 : 400,507,538 = 400,507,538 : x
  2. Step 2: Convert to fraction form
    182,093,433/400,507,538 = 400,507,538/x
  3. Step 3: Cross multiply
    182,093,433x = 400,507,538 × 400,507,538
  4. Step 4: Simplify right side
    182,093,433x = 160,406,287,994,821,440
  5. Step 5: Solve for x
    x = 160,406,287,994,821,440/182,093,433
  6. Step 6: Final answer
    x = 880,901,004.24

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.