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Finding the Third Proportional to 164,147,137.88 and 256,158,436.50

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Solution

The third proportional to 164,147,137.88 and 256,158,436.50 is: 399,745,895.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,147,137.88 : 256,158,436.50 = 256,158,436.50 : x
  2. Step 2: Convert to fraction form
    164,147,137.88/256,158,436.50 = 256,158,436.50/x
  3. Step 3: Cross multiply
    164,147,137.88x = 256,158,436.50 × 256,158,436.50
  4. Step 4: Simplify right side
    164,147,137.88x = 65,617,144,590,124,536
  5. Step 5: Solve for x
    x = 65,617,144,590,124,536/164,147,137.88
  6. Step 6: Final answer
    x = 399,745,895.30

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.