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Finding the Third Proportional to 229,594,116 and 489,839,940

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Solution

The third proportional to 229,594,116 and 489,839,940 is: 1,045,075,418.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,594,116 : 489,839,940 = 489,839,940 : x
  2. Step 2: Convert to fraction form
    229,594,116/489,839,940 = 489,839,940/x
  3. Step 3: Cross multiply
    229,594,116x = 489,839,940 × 489,839,940
  4. Step 4: Simplify right side
    229,594,116x = 239,943,166,819,203,584
  5. Step 5: Solve for x
    x = 239,943,166,819,203,584/229,594,116
  6. Step 6: Final answer
    x = 1,045,075,418.31

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.