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Finding the Third Proportional to 211,585,998.38 and 326,812,015.13

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Solution

The third proportional to 211,585,998.38 and 326,812,015.13 is: 504,788,095.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,585,998.38 : 326,812,015.13 = 326,812,015.13 : x
  2. Step 2: Convert to fraction form
    211,585,998.38/326,812,015.13 = 326,812,015.13/x
  3. Step 3: Cross multiply
    211,585,998.38x = 326,812,015.13 × 326,812,015.13
  4. Step 4: Simplify right side
    211,585,998.38x = 106,806,093,230,063,232
  5. Step 5: Solve for x
    x = 106,806,093,230,063,232/211,585,998.38
  6. Step 6: Final answer
    x = 504,788,095.86

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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.