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Finding the Third Proportional to 164,194,416 and 356,967,792

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Solution

The third proportional to 164,194,416 and 356,967,792 is: 776,067,832.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,194,416 : 356,967,792 = 356,967,792 : x
  2. Step 2: Convert to fraction form
    164,194,416/356,967,792 = 356,967,792/x
  3. Step 3: Cross multiply
    164,194,416x = 356,967,792 × 356,967,792
  4. Step 4: Simplify right side
    164,194,416x = 127,426,004,525,355,264
  5. Step 5: Solve for x
    x = 127,426,004,525,355,264/164,194,416
  6. Step 6: Final answer
    x = 776,067,832.45

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.