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Finding the Third Proportional to 229,716,096 and 504,065,946

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Solution

The third proportional to 229,716,096 and 504,065,946 is: 1,106,071,722.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,716,096 : 504,065,946 = 504,065,946 : x
  2. Step 2: Convert to fraction form
    229,716,096/504,065,946 = 504,065,946/x
  3. Step 3: Cross multiply
    229,716,096x = 504,065,946 × 504,065,946
  4. Step 4: Simplify right side
    229,716,096x = 254,082,477,916,874,912
  5. Step 5: Solve for x
    x = 254,082,477,916,874,912/229,716,096
  6. Step 6: Final answer
    x = 1,106,071,722.19

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.