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Finding the Third Proportional to 75,997,465 and 154,109,648

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Solution

The third proportional to 75,997,465 and 154,109,648 is: 312,507,576.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,997,465 : 154,109,648 = 154,109,648 : x
  2. Step 2: Convert to fraction form
    75,997,465/154,109,648 = 154,109,648/x
  3. Step 3: Cross multiply
    75,997,465x = 154,109,648 × 154,109,648
  4. Step 4: Simplify right side
    75,997,465x = 23,749,783,606,683,904
  5. Step 5: Solve for x
    x = 23,749,783,606,683,904/75,997,465
  6. Step 6: Final answer
    x = 312,507,576.49

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These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.