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Finding the Third Proportional to 109,075,740 and 173,645,015

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Solution

The third proportional to 109,075,740 and 173,645,015 is: 276,437,191.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,075,740 : 173,645,015 = 173,645,015 : x
  2. Step 2: Convert to fraction form
    109,075,740/173,645,015 = 173,645,015/x
  3. Step 3: Cross multiply
    109,075,740x = 173,645,015 × 173,645,015
  4. Step 4: Simplify right side
    109,075,740x = 30,152,591,234,350,224
  5. Step 5: Solve for x
    x = 30,152,591,234,350,224/109,075,740
  6. Step 6: Final answer
    x = 276,437,191.57

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Why These Related Problems?

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