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Finding the Third Proportional to 162,768,608 and 227,674,432

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Solution

The third proportional to 162,768,608 and 227,674,432 is: 318,462,187.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,768,608 : 227,674,432 = 227,674,432 : x
  2. Step 2: Convert to fraction form
    162,768,608/227,674,432 = 227,674,432/x
  3. Step 3: Cross multiply
    162,768,608x = 227,674,432 × 227,674,432
  4. Step 4: Simplify right side
    162,768,608x = 51,835,646,986,522,624
  5. Step 5: Solve for x
    x = 51,835,646,986,522,624/162,768,608
  6. Step 6: Final answer
    x = 318,462,187.66

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.