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Finding the Third Proportional to 42,586,392 and 92,646,171

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Solution

The third proportional to 42,586,392 and 92,646,171 is: 201,550,603.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,586,392 : 92,646,171 = 92,646,171 : x
  2. Step 2: Convert to fraction form
    42,586,392/92,646,171 = 92,646,171/x
  3. Step 3: Cross multiply
    42,586,392x = 92,646,171 × 92,646,171
  4. Step 4: Simplify right side
    42,586,392x = 8,583,313,000,961,241
  5. Step 5: Solve for x
    x = 8,583,313,000,961,241/42,586,392
  6. Step 6: Final answer
    x = 201,550,603.32

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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.