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Finding the Third Proportional to 199,242,433.88 and 312,524,268.38

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Solution

The third proportional to 199,242,433.88 and 312,524,268.38 is: 490,213,938.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,242,433.88 : 312,524,268.38 = 312,524,268.38 : x
  2. Step 2: Convert to fraction form
    199,242,433.88/312,524,268.38 = 312,524,268.38/x
  3. Step 3: Cross multiply
    199,242,433.88x = 312,524,268.38 × 312,524,268.38
  4. Step 4: Simplify right side
    199,242,433.88x = 97,671,418,323,329,024
  5. Step 5: Solve for x
    x = 97,671,418,323,329,024/199,242,433.88
  6. Step 6: Final answer
    x = 490,213,938.99

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.