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Finding the Third Proportional to 136,608,416 and 209,847,236

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Solution

The third proportional to 136,608,416 and 209,847,236 is: 322,351,021.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,608,416 : 209,847,236 = 209,847,236 : x
  2. Step 2: Convert to fraction form
    136,608,416/209,847,236 = 209,847,236/x
  3. Step 3: Cross multiply
    136,608,416x = 209,847,236 × 209,847,236
  4. Step 4: Simplify right side
    136,608,416x = 44,035,862,456,839,696
  5. Step 5: Solve for x
    x = 44,035,862,456,839,696/136,608,416
  6. Step 6: Final answer
    x = 322,351,021.60

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.