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Finding the Third Proportional to 209,683,017 and 328,214,052

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Solution

The third proportional to 209,683,017 and 328,214,052 is: 513,749,112.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,683,017 : 328,214,052 = 328,214,052 : x
  2. Step 2: Convert to fraction form
    209,683,017/328,214,052 = 328,214,052/x
  3. Step 3: Cross multiply
    209,683,017x = 328,214,052 × 328,214,052
  4. Step 4: Simplify right side
    209,683,017x = 107,724,463,930,258,704
  5. Step 5: Solve for x
    x = 107,724,463,930,258,704/209,683,017
  6. Step 6: Final answer
    x = 513,749,112.69

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.