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Finding the Third Proportional to 185,310,101 and 395,243,230

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Solution

The third proportional to 185,310,101 and 395,243,230 is: 843,004,293.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,310,101 : 395,243,230 = 395,243,230 : x
  2. Step 2: Convert to fraction form
    185,310,101/395,243,230 = 395,243,230/x
  3. Step 3: Cross multiply
    185,310,101x = 395,243,230 × 395,243,230
  4. Step 4: Simplify right side
    185,310,101x = 156,217,210,860,832,896
  5. Step 5: Solve for x
    x = 156,217,210,860,832,896/185,310,101
  6. Step 6: Final answer
    x = 843,004,293.98

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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.