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Finding the Third Proportional to 147,816,408,926 and 303,468,996,310

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Solution

The third proportional to 147,816,408,926 and 303,468,996,310 is: 623,025,768,184.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,816,408,926 : 303,468,996,310 = 303,468,996,310 : x
  2. Step 2: Convert to fraction form
    147,816,408,926/303,468,996,310 = 303,468,996,310/x
  3. Step 3: Cross multiply
    147,816,408,926x = 303,468,996,310 × 303,468,996,310
  4. Step 4: Simplify right side
    147,816,408,926x = 92,093,431,721,398,796,025,856
  5. Step 5: Solve for x
    x = 92,093,431,721,398,796,025,856/147,816,408,926
  6. Step 6: Final answer
    x = 623,025,768,184.52

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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.