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Finding the Third Proportional to 83,757,567 and 125,724,985.50

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Solution

The third proportional to 83,757,567 and 125,724,985.50 is: 188,720,524.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,757,567 : 125,724,985.50 = 125,724,985.50 : x
  2. Step 2: Convert to fraction form
    83,757,567/125,724,985.50 = 125,724,985.50/x
  3. Step 3: Cross multiply
    83,757,567x = 125,724,985.50 × 125,724,985.50
  4. Step 4: Simplify right side
    83,757,567x = 15,806,771,978,975,210
  5. Step 5: Solve for x
    x = 15,806,771,978,975,210/83,757,567
  6. Step 6: Final answer
    x = 188,720,524.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.