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Finding the Third Proportional to 77,483,316 and 168,586,337

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Solution

The third proportional to 77,483,316 and 168,586,337 is: 366,806,100.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,483,316 : 168,586,337 = 168,586,337 : x
  2. Step 2: Convert to fraction form
    77,483,316/168,586,337 = 168,586,337/x
  3. Step 3: Cross multiply
    77,483,316x = 168,586,337 × 168,586,337
  4. Step 4: Simplify right side
    77,483,316x = 28,421,353,023,077,568
  5. Step 5: Solve for x
    x = 28,421,353,023,077,568/77,483,316
  6. Step 6: Final answer
    x = 366,806,100.85

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.