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Finding the Third Proportional to 185,641,869.94 and 393,413,172.75

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Solution

The third proportional to 185,641,869.94 and 393,413,172.75 is: 833,723,149.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,641,869.94 : 393,413,172.75 = 393,413,172.75 : x
  2. Step 2: Convert to fraction form
    185,641,869.94/393,413,172.75 = 393,413,172.75/x
  3. Step 3: Cross multiply
    185,641,869.94x = 393,413,172.75 × 393,413,172.75
  4. Step 4: Simplify right side
    185,641,869.94x = 154,773,924,493,221,344
  5. Step 5: Solve for x
    x = 154,773,924,493,221,344/185,641,869.94
  6. Step 6: Final answer
    x = 833,723,149.55

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.