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Finding the Third Proportional to 123,370,182.22 and 274,324,176.35

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Solution

The third proportional to 123,370,182.22 and 274,324,176.35 is: 609,983,323.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,370,182.22 : 274,324,176.35 = 274,324,176.35 : x
  2. Step 2: Convert to fraction form
    123,370,182.22/274,324,176.35 = 274,324,176.35/x
  3. Step 3: Cross multiply
    123,370,182.22x = 274,324,176.35 × 274,324,176.35
  4. Step 4: Simplify right side
    123,370,182.22x = 75,253,753,730,967,280
  5. Step 5: Solve for x
    x = 75,253,753,730,967,280/123,370,182.22
  6. Step 6: Final answer
    x = 609,983,323.15

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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.