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Finding the Third Proportional to 124,225,638 and 269,154,334.50

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Solution

The third proportional to 124,225,638 and 269,154,334.50 is: 583,165,093.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,225,638 : 269,154,334.50 = 269,154,334.50 : x
  2. Step 2: Convert to fraction form
    124,225,638/269,154,334.50 = 269,154,334.50/x
  3. Step 3: Cross multiply
    124,225,638x = 269,154,334.50 × 269,154,334.50
  4. Step 4: Simplify right side
    124,225,638x = 72,444,055,780,137,888
  5. Step 5: Solve for x
    x = 72,444,055,780,137,888/124,225,638
  6. Step 6: Final answer
    x = 583,165,093.35

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.