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Finding the Third Proportional to 85,287,378 and 124,732,571

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Solution

The third proportional to 85,287,378 and 124,732,571 is: 182,421,064.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,287,378 : 124,732,571 = 124,732,571 : x
  2. Step 2: Convert to fraction form
    85,287,378/124,732,571 = 124,732,571/x
  3. Step 3: Cross multiply
    85,287,378x = 124,732,571 × 124,732,571
  4. Step 4: Simplify right side
    85,287,378x = 15,558,214,268,270,040
  5. Step 5: Solve for x
    x = 15,558,214,268,270,040/85,287,378
  6. Step 6: Final answer
    x = 182,421,064.33

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.