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Finding the Third Proportional to 461,094,168.09 and 988,087,020.19

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Solution

The third proportional to 461,094,168.09 and 988,087,020.19 is: 2,117,389,520.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,094,168.09 : 988,087,020.19 = 988,087,020.19 : x
  2. Step 2: Convert to fraction form
    461,094,168.09/988,087,020.19 = 988,087,020.19/x
  3. Step 3: Cross multiply
    461,094,168.09x = 988,087,020.19 × 988,087,020.19
  4. Step 4: Simplify right side
    461,094,168.09x = 976,315,959,463,012,992
  5. Step 5: Solve for x
    x = 976,315,959,463,012,992/461,094,168.09
  6. Step 6: Final answer
    x = 2,117,389,520.45

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.