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Finding the Third Proportional to 246,972,973.50 and 536,991,025.50

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Solution

The third proportional to 246,972,973.50 and 536,991,025.50 is: 1,167,574,562.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,972,973.50 : 536,991,025.50 = 536,991,025.50 : x
  2. Step 2: Convert to fraction form
    246,972,973.50/536,991,025.50 = 536,991,025.50/x
  3. Step 3: Cross multiply
    246,972,973.50x = 536,991,025.50 × 536,991,025.50
  4. Step 4: Simplify right side
    246,972,973.50x = 288,359,361,467,541,632
  5. Step 5: Solve for x
    x = 288,359,361,467,541,632/246,972,973.50
  6. Step 6: Final answer
    x = 1,167,574,562.44

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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.