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Finding the Third Proportional to 89,181,054 and 195,899,665.50

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Solution

The third proportional to 89,181,054 and 195,899,665.50 is: 430,323,226.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,181,054 : 195,899,665.50 = 195,899,665.50 : x
  2. Step 2: Convert to fraction form
    89,181,054/195,899,665.50 = 195,899,665.50/x
  3. Step 3: Cross multiply
    89,181,054x = 195,899,665.50 × 195,899,665.50
  4. Step 4: Simplify right side
    89,181,054x = 38,376,678,943,011,888
  5. Step 5: Solve for x
    x = 38,376,678,943,011,888/89,181,054
  6. Step 6: Final answer
    x = 430,323,226.98

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.