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Finding the Third Proportional to 86,197,871.25 and 133,838,624.95

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Solution

The third proportional to 86,197,871.25 and 133,838,624.95 is: 207,809,975.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,197,871.25 : 133,838,624.95 = 133,838,624.95 : x
  2. Step 2: Convert to fraction form
    86,197,871.25/133,838,624.95 = 133,838,624.95/x
  3. Step 3: Cross multiply
    86,197,871.25x = 133,838,624.95 × 133,838,624.95
  4. Step 4: Simplify right side
    86,197,871.25x = 17,912,777,529,341,914
  5. Step 5: Solve for x
    x = 17,912,777,529,341,914/86,197,871.25
  6. Step 6: Final answer
    x = 207,809,975.69

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.