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Finding the Third Proportional to 229,716,094.50 and 504,065,943

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Solution

The third proportional to 229,716,094.50 and 504,065,943 is: 1,106,071,716.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,716,094.50 : 504,065,943 = 504,065,943 : x
  2. Step 2: Convert to fraction form
    229,716,094.50/504,065,943 = 504,065,943/x
  3. Step 3: Cross multiply
    229,716,094.50x = 504,065,943 × 504,065,943
  4. Step 4: Simplify right side
    229,716,094.50x = 254,082,474,892,479,264
  5. Step 5: Solve for x
    x = 254,082,474,892,479,264/229,716,094.50
  6. Step 6: Final answer
    x = 1,106,071,716.24

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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.