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Finding the Third Proportional to 150,270,992.25 and 229,875,643.50

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Solution

The third proportional to 150,270,992.25 and 229,875,643.50 is: 351,650,113.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,270,992.25 : 229,875,643.50 = 229,875,643.50 : x
  2. Step 2: Convert to fraction form
    150,270,992.25/229,875,643.50 = 229,875,643.50/x
  3. Step 3: Cross multiply
    150,270,992.25x = 229,875,643.50 × 229,875,643.50
  4. Step 4: Simplify right side
    150,270,992.25x = 52,842,811,474,539,096
  5. Step 5: Solve for x
    x = 52,842,811,474,539,096/150,270,992.25
  6. Step 6: Final answer
    x = 351,650,113.46

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.