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Finding the Third Proportional to 229,806,825 and 343,896,012

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Solution

The third proportional to 229,806,825 and 343,896,012 is: 514,625,564.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,806,825 : 343,896,012 = 343,896,012 : x
  2. Step 2: Convert to fraction form
    229,806,825/343,896,012 = 343,896,012/x
  3. Step 3: Cross multiply
    229,806,825x = 343,896,012 × 343,896,012
  4. Step 4: Simplify right side
    229,806,825x = 118,264,467,069,504,144
  5. Step 5: Solve for x
    x = 118,264,467,069,504,144/229,806,825
  6. Step 6: Final answer
    x = 514,625,564.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.