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Finding the Third Proportional to 229,716,047.25 and 504,065,848.50

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Solution

The third proportional to 229,716,047.25 and 504,065,848.50 is: 1,106,071,529.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,716,047.25 : 504,065,848.50 = 504,065,848.50 : x
  2. Step 2: Convert to fraction form
    229,716,047.25/504,065,848.50 = 504,065,848.50/x
  3. Step 3: Cross multiply
    229,716,047.25x = 504,065,848.50 × 504,065,848.50
  4. Step 4: Simplify right side
    229,716,047.25x = 254,082,379,624,024,960
  5. Step 5: Solve for x
    x = 254,082,379,624,024,960/229,716,047.25
  6. Step 6: Final answer
    x = 1,106,071,529.03

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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.