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Finding the Third Proportional to 149,254,037 and 322,955,818

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Solution

The third proportional to 149,254,037 and 322,955,818 is: 698,811,653.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,254,037 : 322,955,818 = 322,955,818 : x
  2. Step 2: Convert to fraction form
    149,254,037/322,955,818 = 322,955,818/x
  3. Step 3: Cross multiply
    149,254,037x = 322,955,818 × 322,955,818
  4. Step 4: Simplify right side
    149,254,037x = 104,300,460,380,049,120
  5. Step 5: Solve for x
    x = 104,300,460,380,049,120/149,254,037
  6. Step 6: Final answer
    x = 698,811,653.45

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.