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Finding the Third Proportional to 164,407,271 and 357,756,936

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Solution

The third proportional to 164,407,271 and 357,756,936 is: 778,493,703.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,407,271 : 357,756,936 = 357,756,936 : x
  2. Step 2: Convert to fraction form
    164,407,271/357,756,936 = 357,756,936/x
  3. Step 3: Cross multiply
    164,407,271x = 357,756,936 × 357,756,936
  4. Step 4: Simplify right side
    164,407,271x = 127,990,025,256,108,096
  5. Step 5: Solve for x
    x = 127,990,025,256,108,096/164,407,271
  6. Step 6: Final answer
    x = 778,493,703.34

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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.