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Finding the Third Proportional to 159,536,322 and 347,024,964

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Solution

The third proportional to 159,536,322 and 347,024,964 is: 754,852,087.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,536,322 : 347,024,964 = 347,024,964 : x
  2. Step 2: Convert to fraction form
    159,536,322/347,024,964 = 347,024,964/x
  3. Step 3: Cross multiply
    159,536,322x = 347,024,964 × 347,024,964
  4. Step 4: Simplify right side
    159,536,322x = 120,426,325,639,201,296
  5. Step 5: Solve for x
    x = 120,426,325,639,201,296/159,536,322
  6. Step 6: Final answer
    x = 754,852,087.16

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.