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Finding the Third Proportional to 187,436,850 and 407,113,356

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Solution

The third proportional to 187,436,850 and 407,113,356 is: 884,251,333.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,436,850 : 407,113,356 = 407,113,356 : x
  2. Step 2: Convert to fraction form
    187,436,850/407,113,356 = 407,113,356/x
  3. Step 3: Cross multiply
    187,436,850x = 407,113,356 × 407,113,356
  4. Step 4: Simplify right side
    187,436,850x = 165,741,284,633,582,720
  5. Step 5: Solve for x
    x = 165,741,284,633,582,720/187,436,850
  6. Step 6: Final answer
    x = 884,251,333.90

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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.