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Finding the Third Proportional to 85,667,849 and 130,509,441

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Solution

The third proportional to 85,667,849 and 130,509,441 is: 198,822,713.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,667,849 : 130,509,441 = 130,509,441 : x
  2. Step 2: Convert to fraction form
    85,667,849/130,509,441 = 130,509,441/x
  3. Step 3: Cross multiply
    85,667,849x = 130,509,441 × 130,509,441
  4. Step 4: Simplify right side
    85,667,849x = 17,032,714,190,132,480
  5. Step 5: Solve for x
    x = 17,032,714,190,132,480/85,667,849
  6. Step 6: Final answer
    x = 198,822,713.41

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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.