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Finding the Third Proportional to 78,963,498 and 170,412,228

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Solution

The third proportional to 78,963,498 and 170,412,228 is: 367,769,009.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,963,498 : 170,412,228 = 170,412,228 : x
  2. Step 2: Convert to fraction form
    78,963,498/170,412,228 = 170,412,228/x
  3. Step 3: Cross multiply
    78,963,498x = 170,412,228 × 170,412,228
  4. Step 4: Simplify right side
    78,963,498x = 29,040,327,451,923,984
  5. Step 5: Solve for x
    x = 29,040,327,451,923,984/78,963,498
  6. Step 6: Final answer
    x = 367,769,009.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.