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Finding the Third Proportional to 109,075,738 and 173,645,012

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Solution

The third proportional to 109,075,738 and 173,645,012 is: 276,437,187.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,075,738 : 173,645,012 = 173,645,012 : x
  2. Step 2: Convert to fraction form
    109,075,738/173,645,012 = 173,645,012/x
  3. Step 3: Cross multiply
    109,075,738x = 173,645,012 × 173,645,012
  4. Step 4: Simplify right side
    109,075,738x = 30,152,590,192,480,144
  5. Step 5: Solve for x
    x = 30,152,590,192,480,144/109,075,738
  6. Step 6: Final answer
    x = 276,437,187.09

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.