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Finding the Third Proportional to 147,816,408,924 and 303,468,996,306

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Solution

The third proportional to 147,816,408,924 and 303,468,996,306 is: 623,025,768,176.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,816,408,924 : 303,468,996,306 = 303,468,996,306 : x
  2. Step 2: Convert to fraction form
    147,816,408,924/303,468,996,306 = 303,468,996,306/x
  3. Step 3: Cross multiply
    147,816,408,924x = 303,468,996,306 × 303,468,996,306
  4. Step 4: Simplify right side
    147,816,408,924x = 92,093,431,718,971,048,984,576
  5. Step 5: Solve for x
    x = 92,093,431,718,971,048,984,576/147,816,408,924
  6. Step 6: Final answer
    x = 623,025,768,176.53

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.