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Finding the Third Proportional to 89,370,640 and 192,849,368

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Solution

The third proportional to 89,370,640 and 192,849,368 is: 416,142,020.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,370,640 : 192,849,368 = 192,849,368 : x
  2. Step 2: Convert to fraction form
    89,370,640/192,849,368 = 192,849,368/x
  3. Step 3: Cross multiply
    89,370,640x = 192,849,368 × 192,849,368
  4. Step 4: Simplify right side
    89,370,640x = 37,190,878,737,999,424
  5. Step 5: Solve for x
    x = 37,190,878,737,999,424/89,370,640
  6. Step 6: Final answer
    x = 416,142,020.89

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.