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Finding the Third Proportional to 229,525,881.19 and 498,020,811.75

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Solution

The third proportional to 229,525,881.19 and 498,020,811.75 is: 1,080,595,912.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,525,881.19 : 498,020,811.75 = 498,020,811.75 : x
  2. Step 2: Convert to fraction form
    229,525,881.19/498,020,811.75 = 498,020,811.75/x
  3. Step 3: Cross multiply
    229,525,881.19x = 498,020,811.75 × 498,020,811.75
  4. Step 4: Simplify right side
    229,525,881.19x = 248,024,728,936,128,928
  5. Step 5: Solve for x
    x = 248,024,728,936,128,928/229,525,881.19
  6. Step 6: Final answer
    x = 1,080,595,912.12

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.