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Finding the Third Proportional to 164,886,237 and 251,197,713

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Solution

The third proportional to 164,886,237 and 251,197,713 is: 382,689,860.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,886,237 : 251,197,713 = 251,197,713 : x
  2. Step 2: Convert to fraction form
    164,886,237/251,197,713 = 251,197,713/x
  3. Step 3: Cross multiply
    164,886,237x = 251,197,713 × 251,197,713
  4. Step 4: Simplify right side
    164,886,237x = 63,100,291,016,430,368
  5. Step 5: Solve for x
    x = 63,100,291,016,430,368/164,886,237
  6. Step 6: Final answer
    x = 382,689,860.38

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.