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Finding the Third Proportional to 31,832,888.25 and 68,203,783.50

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Solution

The third proportional to 31,832,888.25 and 68,203,783.50 is: 146,130,506.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,832,888.25 : 68,203,783.50 = 68,203,783.50 : x
  2. Step 2: Convert to fraction form
    31,832,888.25/68,203,783.50 = 68,203,783.50/x
  3. Step 3: Cross multiply
    31,832,888.25x = 68,203,783.50 × 68,203,783.50
  4. Step 4: Simplify right side
    31,832,888.25x = 4,651,756,083,714,872
  5. Step 5: Solve for x
    x = 4,651,756,083,714,872/31,832,888.25
  6. Step 6: Final answer
    x = 146,130,506.51

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.