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Finding the Third Proportional to 96,969,316 and 215,463,176

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Solution

The third proportional to 96,969,316 and 215,463,176 is: 478,753,301.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,969,316 : 215,463,176 = 215,463,176 : x
  2. Step 2: Convert to fraction form
    96,969,316/215,463,176 = 215,463,176/x
  3. Step 3: Cross multiply
    96,969,316x = 215,463,176 × 215,463,176
  4. Step 4: Simplify right side
    96,969,316x = 46,424,380,212,006,976
  5. Step 5: Solve for x
    x = 46,424,380,212,006,976/96,969,316
  6. Step 6: Final answer
    x = 478,753,301.84

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.