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Finding the Third Proportional to 74,350,929 and 161,054,034

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Solution

The third proportional to 74,350,929 and 161,054,034 is: 348,864,529.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,350,929 : 161,054,034 = 161,054,034 : x
  2. Step 2: Convert to fraction form
    74,350,929/161,054,034 = 161,054,034/x
  3. Step 3: Cross multiply
    74,350,929x = 161,054,034 × 161,054,034
  4. Step 4: Simplify right side
    74,350,929x = 25,938,401,867,673,156
  5. Step 5: Solve for x
    x = 25,938,401,867,673,156/74,350,929
  6. Step 6: Final answer
    x = 348,864,529.56

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Why These Related Problems?

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