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Finding the Third Proportional to 185,277,472 and 395,999,312

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Solution

The third proportional to 185,277,472 and 395,999,312 is: 846,381,664.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,277,472 : 395,999,312 = 395,999,312 : x
  2. Step 2: Convert to fraction form
    185,277,472/395,999,312 = 395,999,312/x
  3. Step 3: Cross multiply
    185,277,472x = 395,999,312 × 395,999,312
  4. Step 4: Simplify right side
    185,277,472x = 156,815,455,104,473,344
  5. Step 5: Solve for x
    x = 156,815,455,104,473,344/185,277,472
  6. Step 6: Final answer
    x = 846,381,664.28

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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.