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Finding the Third Proportional to 182,030,862 and 401,165,412

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Solution

The third proportional to 182,030,862 and 401,165,412 is: 884,101,113.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,030,862 : 401,165,412 = 401,165,412 : x
  2. Step 2: Convert to fraction form
    182,030,862/401,165,412 = 401,165,412/x
  3. Step 3: Cross multiply
    182,030,862x = 401,165,412 × 401,165,412
  4. Step 4: Simplify right side
    182,030,862x = 160,933,687,785,129,728
  5. Step 5: Solve for x
    x = 160,933,687,785,129,728/182,030,862
  6. Step 6: Final answer
    x = 884,101,113.50

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Why These Related Problems?

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