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Finding the Third Proportional to 124,628,762.50 and 288,493,019.50

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Solution

The third proportional to 124,628,762.50 and 288,493,019.50 is: 667,809,104.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,628,762.50 : 288,493,019.50 = 288,493,019.50 : x
  2. Step 2: Convert to fraction form
    124,628,762.50/288,493,019.50 = 288,493,019.50/x
  3. Step 3: Cross multiply
    124,628,762.50x = 288,493,019.50 × 288,493,019.50
  4. Step 4: Simplify right side
    124,628,762.50x = 83,228,222,300,227,376
  5. Step 5: Solve for x
    x = 83,228,222,300,227,376/124,628,762.50
  6. Step 6: Final answer
    x = 667,809,104.66

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