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Finding the Third Proportional to 120,157,584 and 246,685,081.50

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Solution

The third proportional to 120,157,584 and 246,685,081.50 is: 506,447,678.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,157,584 : 246,685,081.50 = 246,685,081.50 : x
  2. Step 2: Convert to fraction form
    120,157,584/246,685,081.50 = 246,685,081.50/x
  3. Step 3: Cross multiply
    120,157,584x = 246,685,081.50 × 246,685,081.50
  4. Step 4: Simplify right side
    120,157,584x = 60,853,529,434,661,640
  5. Step 5: Solve for x
    x = 60,853,529,434,661,640/120,157,584
  6. Step 6: Final answer
    x = 506,447,678.20

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.