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Finding the Third Proportional to 229,299,814,652.75 and 498,857,832,596.75

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Solution

The third proportional to 229,299,814,652.75 and 498,857,832,596.75 is: 1,085,300,210,643.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,299,814,652.75 : 498,857,832,596.75 = 498,857,832,596.75 : x
  2. Step 2: Convert to fraction form
    229,299,814,652.75/498,857,832,596.75 = 498,857,832,596.75/x
  3. Step 3: Cross multiply
    229,299,814,652.75x = 498,857,832,596.75 × 498,857,832,596.75
  4. Step 4: Simplify right side
    229,299,814,652.75x = 248,859,137,143,127,037,444,096
  5. Step 5: Solve for x
    x = 248,859,137,143,127,037,444,096/229,299,814,652.75
  6. Step 6: Final answer
    x = 1,085,300,210,643.42

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.