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Finding the Third Proportional to 41,902,243.50 and 65,400,129

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Solution

The third proportional to 41,902,243.50 and 65,400,129 is: 102,075,128.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,902,243.50 : 65,400,129 = 65,400,129 : x
  2. Step 2: Convert to fraction form
    41,902,243.50/65,400,129 = 65,400,129/x
  3. Step 3: Cross multiply
    41,902,243.50x = 65,400,129 × 65,400,129
  4. Step 4: Simplify right side
    41,902,243.50x = 4,277,176,873,216,641
  5. Step 5: Solve for x
    x = 4,277,176,873,216,641/41,902,243.50
  6. Step 6: Final answer
    x = 102,075,128.11

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.