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Finding the Third Proportional to 120,157,765 and 246,685,396

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Solution

The third proportional to 120,157,765 and 246,685,396 is: 506,448,206.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,157,765 : 246,685,396 = 246,685,396 : x
  2. Step 2: Convert to fraction form
    120,157,765/246,685,396 = 246,685,396/x
  3. Step 3: Cross multiply
    120,157,765x = 246,685,396 × 246,685,396
  4. Step 4: Simplify right side
    120,157,765x = 60,853,684,599,676,816
  5. Step 5: Solve for x
    x = 60,853,684,599,676,816/120,157,765
  6. Step 6: Final answer
    x = 506,448,206.65

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