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Finding the Third Proportional to 144,164,348 and 298,548,736

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Solution

The third proportional to 144,164,348 and 298,548,736 is: 618,262,066.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,164,348 : 298,548,736 = 298,548,736 : x
  2. Step 2: Convert to fraction form
    144,164,348/298,548,736 = 298,548,736/x
  3. Step 3: Cross multiply
    144,164,348x = 298,548,736 × 298,548,736
  4. Step 4: Simplify right side
    144,164,348x = 89,131,347,767,197,696
  5. Step 5: Solve for x
    x = 89,131,347,767,197,696/144,164,348
  6. Step 6: Final answer
    x = 618,262,066.90

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.