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Finding the Third Proportional to 120,157,574.50 and 246,685,063.50

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Solution

The third proportional to 120,157,574.50 and 246,685,063.50 is: 506,447,644.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,157,574.50 : 246,685,063.50 = 246,685,063.50 : x
  2. Step 2: Convert to fraction form
    120,157,574.50/246,685,063.50 = 246,685,063.50/x
  3. Step 3: Cross multiply
    120,157,574.50x = 246,685,063.50 × 246,685,063.50
  4. Step 4: Simplify right side
    120,157,574.50x = 60,853,520,553,999,032
  5. Step 5: Solve for x
    x = 60,853,520,553,999,032/120,157,574.50
  6. Step 6: Final answer
    x = 506,447,644.33

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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.