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Finding the Third Proportional to 164,407,162 and 357,756,611

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Solution

The third proportional to 164,407,162 and 357,756,611 is: 778,492,805.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,407,162 : 357,756,611 = 357,756,611 : x
  2. Step 2: Convert to fraction form
    164,407,162/357,756,611 = 357,756,611/x
  3. Step 3: Cross multiply
    164,407,162x = 357,756,611 × 357,756,611
  4. Step 4: Simplify right side
    164,407,162x = 127,989,792,714,205,328
  5. Step 5: Solve for x
    x = 127,989,792,714,205,328/164,407,162
  6. Step 6: Final answer
    x = 778,492,805.04

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.