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Finding the Third Proportional to 60,823,712.50 and 125,958,822.50

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Solution

The third proportional to 60,823,712.50 and 125,958,822.50 is: 260,846,046.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,823,712.50 : 125,958,822.50 = 125,958,822.50 : x
  2. Step 2: Convert to fraction form
    60,823,712.50/125,958,822.50 = 125,958,822.50/x
  3. Step 3: Cross multiply
    60,823,712.50x = 125,958,822.50 × 125,958,822.50
  4. Step 4: Simplify right side
    60,823,712.50x = 15,865,624,965,586,506
  5. Step 5: Solve for x
    x = 15,865,624,965,586,506/60,823,712.50
  6. Step 6: Final answer
    x = 260,846,046.94

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.