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Finding the Third Proportional to 229,151,680 and 468,892,816

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Solution

The third proportional to 229,151,680 and 468,892,816 is: 959,453,899.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,151,680 : 468,892,816 = 468,892,816 : x
  2. Step 2: Convert to fraction form
    229,151,680/468,892,816 = 468,892,816/x
  3. Step 3: Cross multiply
    229,151,680x = 468,892,816 × 468,892,816
  4. Step 4: Simplify right side
    229,151,680x = 219,860,472,896,409,856
  5. Step 5: Solve for x
    x = 219,860,472,896,409,856/229,151,680
  6. Step 6: Final answer
    x = 959,453,899.25

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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.