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Finding the Third Proportional to 85,051,075.50 and 181,760,226.75

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Solution

The third proportional to 85,051,075.50 and 181,760,226.75 is: 388,434,594.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,051,075.50 : 181,760,226.75 = 181,760,226.75 : x
  2. Step 2: Convert to fraction form
    85,051,075.50/181,760,226.75 = 181,760,226.75/x
  3. Step 3: Cross multiply
    85,051,075.50x = 181,760,226.75 × 181,760,226.75
  4. Step 4: Simplify right side
    85,051,075.50x = 33,036,780,028,211,416
  5. Step 5: Solve for x
    x = 33,036,780,028,211,416/85,051,075.50
  6. Step 6: Final answer
    x = 388,434,594.55

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.