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Finding the Third Proportional to 216,016,906 and 465,810,812

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Solution

The third proportional to 216,016,906 and 465,810,812 is: 1,004,457,089.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,016,906 : 465,810,812 = 465,810,812 : x
  2. Step 2: Convert to fraction form
    216,016,906/465,810,812 = 465,810,812/x
  3. Step 3: Cross multiply
    216,016,906x = 465,810,812 × 465,810,812
  4. Step 4: Simplify right side
    216,016,906x = 216,979,712,576,099,328
  5. Step 5: Solve for x
    x = 216,979,712,576,099,328/216,016,906
  6. Step 6: Final answer
    x = 1,004,457,089.00

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.