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Finding the Third Proportional to 226,405,357.50 and 489,162,459

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Solution

The third proportional to 226,405,357.50 and 489,162,459 is: 1,056,865,058.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,405,357.50 : 489,162,459 = 489,162,459 : x
  2. Step 2: Convert to fraction form
    226,405,357.50/489,162,459 = 489,162,459/x
  3. Step 3: Cross multiply
    226,405,357.50x = 489,162,459 × 489,162,459
  4. Step 4: Simplify right side
    226,405,357.50x = 239,279,911,294,926,688
  5. Step 5: Solve for x
    x = 239,279,911,294,926,688/226,405,357.50
  6. Step 6: Final answer
    x = 1,056,865,058.04

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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.