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Finding the Third Proportional to 42,628,215 and 92,425,284.38

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Solution

The third proportional to 42,628,215 and 92,425,284.38 is: 200,393,875.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,628,215 : 92,425,284.38 = 92,425,284.38 : x
  2. Step 2: Convert to fraction form
    42,628,215/92,425,284.38 = 92,425,284.38/x
  3. Step 3: Cross multiply
    42,628,215x = 92,425,284.38 × 92,425,284.38
  4. Step 4: Simplify right side
    42,628,215x = 8,542,433,191,799,619
  5. Step 5: Solve for x
    x = 8,542,433,191,799,619/42,628,215
  6. Step 6: Final answer
    x = 200,393,875.08

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.