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Finding the Third Proportional to 89,896,333 and 197,290,543

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Solution

The third proportional to 89,896,333 and 197,290,543 is: 432,982,715.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,896,333 : 197,290,543 = 197,290,543 : x
  2. Step 2: Convert to fraction form
    89,896,333/197,290,543 = 197,290,543/x
  3. Step 3: Cross multiply
    89,896,333x = 197,290,543 × 197,290,543
  4. Step 4: Simplify right side
    89,896,333x = 38,923,558,357,234,848
  5. Step 5: Solve for x
    x = 38,923,558,357,234,848/89,896,333
  6. Step 6: Final answer
    x = 432,982,715.29

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.