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Finding the Third Proportional to 233,644,790.25 and 498,562,222.50

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Solution

The third proportional to 233,644,790.25 and 498,562,222.50 is: 1,063,855,476.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,644,790.25 : 498,562,222.50 = 498,562,222.50 : x
  2. Step 2: Convert to fraction form
    233,644,790.25/498,562,222.50 = 498,562,222.50/x
  3. Step 3: Cross multiply
    233,644,790.25x = 498,562,222.50 × 498,562,222.50
  4. Step 4: Simplify right side
    233,644,790.25x = 248,564,289,704,139,520
  5. Step 5: Solve for x
    x = 248,564,289,704,139,520/233,644,790.25
  6. Step 6: Final answer
    x = 1,063,855,476.68

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.