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Finding the Third Proportional to 164,407,268 and 357,756,930

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Solution

The third proportional to 164,407,268 and 357,756,930 is: 778,493,691.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,407,268 : 357,756,930 = 357,756,930 : x
  2. Step 2: Convert to fraction form
    164,407,268/357,756,930 = 357,756,930/x
  3. Step 3: Cross multiply
    164,407,268x = 357,756,930 × 357,756,930
  4. Step 4: Simplify right side
    164,407,268x = 127,990,020,963,024,896
  5. Step 5: Solve for x
    x = 127,990,020,963,024,896/164,407,268
  6. Step 6: Final answer
    x = 778,493,691.43

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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.