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Finding the Third Proportional to 123,592,804.50 and 186,979,891.50

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Solution

The third proportional to 123,592,804.50 and 186,979,891.50 is: 282,876,337.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,592,804.50 : 186,979,891.50 = 186,979,891.50 : x
  2. Step 2: Convert to fraction form
    123,592,804.50/186,979,891.50 = 186,979,891.50/x
  3. Step 3: Cross multiply
    123,592,804.50x = 186,979,891.50 × 186,979,891.50
  4. Step 4: Simplify right side
    123,592,804.50x = 34,961,479,825,351,772
  5. Step 5: Solve for x
    x = 34,961,479,825,351,772/123,592,804.50
  6. Step 6: Final answer
    x = 282,876,337.07

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.