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Finding the Third Proportional to 185,641,940.81 and 393,413,036.06

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Solution

The third proportional to 185,641,940.81 and 393,413,036.06 is: 833,722,251.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,641,940.81 : 393,413,036.06 = 393,413,036.06 : x
  2. Step 2: Convert to fraction form
    185,641,940.81/393,413,036.06 = 393,413,036.06/x
  3. Step 3: Cross multiply
    185,641,940.81x = 393,413,036.06 × 393,413,036.06
  4. Step 4: Simplify right side
    185,641,940.81x = 154,773,816,943,913,920
  5. Step 5: Solve for x
    x = 154,773,816,943,913,920/185,641,940.81
  6. Step 6: Final answer
    x = 833,722,251.91

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Why These Related Problems?

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