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Finding the Third Proportional to 85,667,839 and 130,509,424.50

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Solution

The third proportional to 85,667,839 and 130,509,424.50 is: 198,822,686.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,667,839 : 130,509,424.50 = 130,509,424.50 : x
  2. Step 2: Convert to fraction form
    85,667,839/130,509,424.50 = 130,509,424.50/x
  3. Step 3: Cross multiply
    85,667,839x = 130,509,424.50 × 130,509,424.50
  4. Step 4: Simplify right side
    85,667,839x = 17,032,709,883,321,200
  5. Step 5: Solve for x
    x = 17,032,709,883,321,200/85,667,839
  6. Step 6: Final answer
    x = 198,822,686.34

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.