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Finding the Third Proportional to 124,628,761.50 and 288,493,017

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Solution

The third proportional to 124,628,761.50 and 288,493,017 is: 667,809,098.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,628,761.50 : 288,493,017 = 288,493,017 : x
  2. Step 2: Convert to fraction form
    124,628,761.50/288,493,017 = 288,493,017/x
  3. Step 3: Cross multiply
    124,628,761.50x = 288,493,017 × 288,493,017
  4. Step 4: Simplify right side
    124,628,761.50x = 83,228,220,857,762,288
  5. Step 5: Solve for x
    x = 83,228,220,857,762,288/124,628,761.50
  6. Step 6: Final answer
    x = 667,809,098.45

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.