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Finding the Third Proportional to 175,802,440.50 and 258,623,016.75

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Solution

The third proportional to 175,802,440.50 and 258,623,016.75 is: 380,460,388.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,802,440.50 : 258,623,016.75 = 258,623,016.75 : x
  2. Step 2: Convert to fraction form
    175,802,440.50/258,623,016.75 = 258,623,016.75/x
  3. Step 3: Cross multiply
    175,802,440.50x = 258,623,016.75 × 258,623,016.75
  4. Step 4: Simplify right side
    175,802,440.50x = 66,885,864,792,870,784
  5. Step 5: Solve for x
    x = 66,885,864,792,870,784/175,802,440.50
  6. Step 6: Final answer
    x = 380,460,388.39

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.