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Finding the Third Proportional to 164,407,204 and 357,756,696

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Solution

The third proportional to 164,407,204 and 357,756,696 is: 778,492,976.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,407,204 : 357,756,696 = 357,756,696 : x
  2. Step 2: Convert to fraction form
    164,407,204/357,756,696 = 357,756,696/x
  3. Step 3: Cross multiply
    164,407,204x = 357,756,696 × 357,756,696
  4. Step 4: Simplify right side
    164,407,204x = 127,989,853,532,836,416
  5. Step 5: Solve for x
    x = 127,989,853,532,836,416/164,407,204
  6. Step 6: Final answer
    x = 778,492,976.09

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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.