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Finding the Third Proportional to 182,093,434 and 400,507,540

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Solution

The third proportional to 182,093,434 and 400,507,540 is: 880,901,008.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,093,434 : 400,507,540 = 400,507,540 : x
  2. Step 2: Convert to fraction form
    182,093,434/400,507,540 = 400,507,540/x
  3. Step 3: Cross multiply
    182,093,434x = 400,507,540 × 400,507,540
  4. Step 4: Simplify right side
    182,093,434x = 160,406,289,596,851,584
  5. Step 5: Solve for x
    x = 160,406,289,596,851,584/182,093,434
  6. Step 6: Final answer
    x = 880,901,008.20

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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.