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Finding the Third Proportional to 229,525,863.75 and 498,020,778.56

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Solution

The third proportional to 229,525,863.75 and 498,020,778.56 is: 1,080,595,850.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,525,863.75 : 498,020,778.56 = 498,020,778.56 : x
  2. Step 2: Convert to fraction form
    229,525,863.75/498,020,778.56 = 498,020,778.56/x
  3. Step 3: Cross multiply
    229,525,863.75x = 498,020,778.56 × 498,020,778.56
  4. Step 4: Simplify right side
    229,525,863.75x = 248,024,695,879,998,656
  5. Step 5: Solve for x
    x = 248,024,695,879,998,656/229,525,863.75
  6. Step 6: Final answer
    x = 1,080,595,850.19

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Why These Related Problems?

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