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Finding the Third Proportional to 120,157,800 and 246,685,470

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Solution

The third proportional to 120,157,800 and 246,685,470 is: 506,448,362.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,157,800 : 246,685,470 = 246,685,470 : x
  2. Step 2: Convert to fraction form
    120,157,800/246,685,470 = 246,685,470/x
  3. Step 3: Cross multiply
    120,157,800x = 246,685,470 × 246,685,470
  4. Step 4: Simplify right side
    120,157,800x = 60,853,721,109,120,896
  5. Step 5: Solve for x
    x = 60,853,721,109,120,896/120,157,800
  6. Step 6: Final answer
    x = 506,448,362.98

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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.