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Finding the Third Proportional to 144,351,967 and 296,356,470

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Solution

The third proportional to 144,351,967 and 296,356,470 is: 608,423,696.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,351,967 : 296,356,470 = 296,356,470 : x
  2. Step 2: Convert to fraction form
    144,351,967/296,356,470 = 296,356,470/x
  3. Step 3: Cross multiply
    144,351,967x = 296,356,470 × 296,356,470
  4. Step 4: Simplify right side
    144,351,967x = 87,827,157,310,860,896
  5. Step 5: Solve for x
    x = 87,827,157,310,860,896/144,351,967
  6. Step 6: Final answer
    x = 608,423,696.17

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.