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Finding the Third Proportional to 222,589,441.50 and 475,746,085.50

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Solution

The third proportional to 222,589,441.50 and 475,746,085.50 is: 1,016,824,231.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,589,441.50 : 475,746,085.50 = 475,746,085.50 : x
  2. Step 2: Convert to fraction form
    222,589,441.50/475,746,085.50 = 475,746,085.50/x
  3. Step 3: Cross multiply
    222,589,441.50x = 475,746,085.50 × 475,746,085.50
  4. Step 4: Simplify right side
    222,589,441.50x = 226,334,337,868,573,312
  5. Step 5: Solve for x
    x = 226,334,337,868,573,312/222,589,441.50
  6. Step 6: Final answer
    x = 1,016,824,231.84

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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.