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Finding the Third Proportional to 83,941,654 and 180,637,891

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Solution

The third proportional to 83,941,654 and 180,637,891 is: 388,722,953.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,941,654 : 180,637,891 = 180,637,891 : x
  2. Step 2: Convert to fraction form
    83,941,654/180,637,891 = 180,637,891/x
  3. Step 3: Cross multiply
    83,941,654x = 180,637,891 × 180,637,891
  4. Step 4: Simplify right side
    83,941,654x = 32,630,047,664,927,880
  5. Step 5: Solve for x
    x = 32,630,047,664,927,880/83,941,654
  6. Step 6: Final answer
    x = 388,722,953.50

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.