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Finding the Third Proportional to 75,665,003 and 157,368,841

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Solution

The third proportional to 75,665,003 and 157,368,841 is: 327,297,312.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,665,003 : 157,368,841 = 157,368,841 : x
  2. Step 2: Convert to fraction form
    75,665,003/157,368,841 = 157,368,841/x
  3. Step 3: Cross multiply
    75,665,003x = 157,368,841 × 157,368,841
  4. Step 4: Simplify right side
    75,665,003x = 24,764,952,117,683,280
  5. Step 5: Solve for x
    x = 24,764,952,117,683,280/75,665,003
  6. Step 6: Final answer
    x = 327,297,312.31

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.