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Finding the Third Proportional to 255,162,537 and 382,660,861.50

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Solution

The third proportional to 255,162,537 and 382,660,861.50 is: 573,866,903.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,162,537 : 382,660,861.50 = 382,660,861.50 : x
  2. Step 2: Convert to fraction form
    255,162,537/382,660,861.50 = 382,660,861.50/x
  3. Step 3: Cross multiply
    255,162,537x = 382,660,861.50 × 382,660,861.50
  4. Step 4: Simplify right side
    255,162,537x = 146,429,334,923,922,176
  5. Step 5: Solve for x
    x = 146,429,334,923,922,176/255,162,537
  6. Step 6: Final answer
    x = 573,866,903.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.