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Finding the Third Proportional to 182,030,855.25 and 401,165,395.88

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Solution

The third proportional to 182,030,855.25 and 401,165,395.88 is: 884,101,075.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,030,855.25 : 401,165,395.88 = 401,165,395.88 : x
  2. Step 2: Convert to fraction form
    182,030,855.25/401,165,395.88 = 401,165,395.88/x
  3. Step 3: Cross multiply
    182,030,855.25x = 401,165,395.88 × 401,165,395.88
  4. Step 4: Simplify right side
    182,030,855.25x = 160,933,674,847,545,472
  5. Step 5: Solve for x
    x = 160,933,674,847,545,472/182,030,855.25
  6. Step 6: Final answer
    x = 884,101,075.21

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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.