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Finding the Third Proportional to 74,345,967 and 161,048,143.13

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Solution

The third proportional to 74,345,967 and 161,048,143.13 is: 348,862,291.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,345,967 : 161,048,143.13 = 161,048,143.13 : x
  2. Step 2: Convert to fraction form
    74,345,967/161,048,143.13 = 161,048,143.13/x
  3. Step 3: Cross multiply
    74,345,967x = 161,048,143.13 × 161,048,143.13
  4. Step 4: Simplify right side
    74,345,967x = 25,936,504,404,010,484
  5. Step 5: Solve for x
    x = 25,936,504,404,010,484/74,345,967
  6. Step 6: Final answer
    x = 348,862,291.40

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.