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Finding the Third Proportional to 89,311,788 and 191,546,100

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Solution

The third proportional to 89,311,788 and 191,546,100 is: 410,807,008.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,311,788 : 191,546,100 = 191,546,100 : x
  2. Step 2: Convert to fraction form
    89,311,788/191,546,100 = 191,546,100/x
  3. Step 3: Cross multiply
    89,311,788x = 191,546,100 × 191,546,100
  4. Step 4: Simplify right side
    89,311,788x = 36,689,908,425,210,000
  5. Step 5: Solve for x
    x = 36,689,908,425,210,000/89,311,788
  6. Step 6: Final answer
    x = 410,807,008.20

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.