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Finding the Third Proportional to 31,900,837.50 and 69,977,216.25

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Solution

The third proportional to 31,900,837.50 and 69,977,216.25 is: 153,501,010.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,900,837.50 : 69,977,216.25 = 69,977,216.25 : x
  2. Step 2: Convert to fraction form
    31,900,837.50/69,977,216.25 = 69,977,216.25/x
  3. Step 3: Cross multiply
    31,900,837.50x = 69,977,216.25 × 69,977,216.25
  4. Step 4: Simplify right side
    31,900,837.50x = 4,896,810,794,099,264
  5. Step 5: Solve for x
    x = 4,896,810,794,099,264/31,900,837.50
  6. Step 6: Final answer
    x = 153,501,010.56

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.