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Finding the Third Proportional to 215,214,288 and 342,614,360

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Solution

The third proportional to 215,214,288 and 342,614,360 is: 545,431,257.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,214,288 : 342,614,360 = 342,614,360 : x
  2. Step 2: Convert to fraction form
    215,214,288/342,614,360 = 342,614,360/x
  3. Step 3: Cross multiply
    215,214,288x = 342,614,360 × 342,614,360
  4. Step 4: Simplify right side
    215,214,288x = 117,384,599,678,209,600
  5. Step 5: Solve for x
    x = 117,384,599,678,209,600/215,214,288
  6. Step 6: Final answer
    x = 545,431,257.23

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.