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Finding the Third Proportional to 42,591,295 and 92,645,022.50

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Solution

The third proportional to 42,591,295 and 92,645,022.50 is: 201,522,404.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,591,295 : 92,645,022.50 = 92,645,022.50 : x
  2. Step 2: Convert to fraction form
    42,591,295/92,645,022.50 = 92,645,022.50/x
  3. Step 3: Cross multiply
    42,591,295x = 92,645,022.50 × 92,645,022.50
  4. Step 4: Simplify right side
    42,591,295x = 8,583,100,194,025,506
  5. Step 5: Solve for x
    x = 8,583,100,194,025,506/42,591,295
  6. Step 6: Final answer
    x = 201,522,404.85

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.