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Finding the Third Proportional to 195,028,960.50 and 406,200,409.50

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Solution

The third proportional to 195,028,960.50 and 406,200,409.50 is: 846,021,904.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,028,960.50 : 406,200,409.50 = 406,200,409.50 : x
  2. Step 2: Convert to fraction form
    195,028,960.50/406,200,409.50 = 406,200,409.50/x
  3. Step 3: Cross multiply
    195,028,960.50x = 406,200,409.50 × 406,200,409.50
  4. Step 4: Simplify right side
    195,028,960.50x = 164,998,772,677,967,680
  5. Step 5: Solve for x
    x = 164,998,772,677,967,680/195,028,960.50
  6. Step 6: Final answer
    x = 846,021,904.93

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.