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Finding the Third Proportional to 164,306,908.50 and 255,229,126.50

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Solution

The third proportional to 164,306,908.50 and 255,229,126.50 is: 396,464,808.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,306,908.50 : 255,229,126.50 = 255,229,126.50 : x
  2. Step 2: Convert to fraction form
    164,306,908.50/255,229,126.50 = 255,229,126.50/x
  3. Step 3: Cross multiply
    164,306,908.50x = 255,229,126.50 × 255,229,126.50
  4. Step 4: Simplify right side
    164,306,908.50x = 65,141,907,013,953,000
  5. Step 5: Solve for x
    x = 65,141,907,013,953,000/164,306,908.50
  6. Step 6: Final answer
    x = 396,464,808.50

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.