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Finding the Third Proportional to 185,277,480 and 395,999,328

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Solution

The third proportional to 185,277,480 and 395,999,328 is: 846,381,696.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,277,480 : 395,999,328 = 395,999,328 : x
  2. Step 2: Convert to fraction form
    185,277,480/395,999,328 = 395,999,328/x
  3. Step 3: Cross multiply
    185,277,480x = 395,999,328 × 395,999,328
  4. Step 4: Simplify right side
    185,277,480x = 156,815,467,776,451,584
  5. Step 5: Solve for x
    x = 156,815,467,776,451,584/185,277,480
  6. Step 6: Final answer
    x = 846,381,696.13

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.