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Finding the Third Proportional to 227,776,891.50 and 340,172,735.25

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Solution

The third proportional to 227,776,891.50 and 340,172,735.25 is: 508,029,980.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,776,891.50 : 340,172,735.25 = 340,172,735.25 : x
  2. Step 2: Convert to fraction form
    227,776,891.50/340,172,735.25 = 340,172,735.25/x
  3. Step 3: Cross multiply
    227,776,891.50x = 340,172,735.25 × 340,172,735.25
  4. Step 4: Simplify right side
    227,776,891.50x = 115,717,489,807,466,592
  5. Step 5: Solve for x
    x = 115,717,489,807,466,592/227,776,891.50
  6. Step 6: Final answer
    x = 508,029,980.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.