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Finding the Third Proportional to 137,399,762 and 296,322,898

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Solution

The third proportional to 137,399,762 and 296,322,898 is: 639,064,133.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,399,762 : 296,322,898 = 296,322,898 : x
  2. Step 2: Convert to fraction form
    137,399,762/296,322,898 = 296,322,898/x
  3. Step 3: Cross multiply
    137,399,762x = 296,322,898 × 296,322,898
  4. Step 4: Simplify right side
    137,399,762x = 87,807,259,879,118,400
  5. Step 5: Solve for x
    x = 87,807,259,879,118,400/137,399,762
  6. Step 6: Final answer
    x = 639,064,133.74

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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.