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Finding the Third Proportional to 46,787,904 and 104,333,736

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Solution

The third proportional to 46,787,904 and 104,333,736 is: 232,656,894.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,787,904 : 104,333,736 = 104,333,736 : x
  2. Step 2: Convert to fraction form
    46,787,904/104,333,736 = 104,333,736/x
  3. Step 3: Cross multiply
    46,787,904x = 104,333,736 × 104,333,736
  4. Step 4: Simplify right side
    46,787,904x = 10,885,528,467,717,696
  5. Step 5: Solve for x
    x = 10,885,528,467,717,696/46,787,904
  6. Step 6: Final answer
    x = 232,656,894.99

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.