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Finding the Third Proportional to 178,647,116.25 and 386,972,916.75

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Solution

The third proportional to 178,647,116.25 and 386,972,916.75 is: 838,233,728.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,647,116.25 : 386,972,916.75 = 386,972,916.75 : x
  2. Step 2: Convert to fraction form
    178,647,116.25/386,972,916.75 = 386,972,916.75/x
  3. Step 3: Cross multiply
    178,647,116.25x = 386,972,916.75 × 386,972,916.75
  4. Step 4: Simplify right side
    178,647,116.25x = 149,748,038,298,002,432
  5. Step 5: Solve for x
    x = 149,748,038,298,002,432/178,647,116.25
  6. Step 6: Final answer
    x = 838,233,728.26

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.