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Finding the Third Proportional to 74,734,178 and 160,992,964

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Solution

The third proportional to 74,734,178 and 160,992,964 is: 346,812,330.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,734,178 : 160,992,964 = 160,992,964 : x
  2. Step 2: Convert to fraction form
    74,734,178/160,992,964 = 160,992,964/x
  3. Step 3: Cross multiply
    74,734,178x = 160,992,964 × 160,992,964
  4. Step 4: Simplify right side
    74,734,178x = 25,918,734,457,505,296
  5. Step 5: Solve for x
    x = 25,918,734,457,505,296/74,734,178
  6. Step 6: Final answer
    x = 346,812,330.73

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.