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Finding the Third Proportional to 229,151,706 and 468,892,860

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Solution

The third proportional to 229,151,706 and 468,892,860 is: 959,453,970.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,151,706 : 468,892,860 = 468,892,860 : x
  2. Step 2: Convert to fraction form
    229,151,706/468,892,860 = 468,892,860/x
  3. Step 3: Cross multiply
    229,151,706x = 468,892,860 × 468,892,860
  4. Step 4: Simplify right side
    229,151,706x = 219,860,514,158,979,584
  5. Step 5: Solve for x
    x = 219,860,514,158,979,584/229,151,706
  6. Step 6: Final answer
    x = 959,453,970.46

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.