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Finding the Third Proportional to 164,194,490 and 356,967,940

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Solution

The third proportional to 164,194,490 and 356,967,940 is: 776,068,126.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,194,490 : 356,967,940 = 356,967,940 : x
  2. Step 2: Convert to fraction form
    164,194,490/356,967,940 = 356,967,940/x
  3. Step 3: Cross multiply
    164,194,490x = 356,967,940 × 356,967,940
  4. Step 4: Simplify right side
    164,194,490x = 127,426,110,187,843,600
  5. Step 5: Solve for x
    x = 127,426,110,187,843,600/164,194,490
  6. Step 6: Final answer
    x = 776,068,126.21

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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.