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Finding the Third Proportional to 221,863,234.50 and 473,405,967

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Solution

The third proportional to 221,863,234.50 and 473,405,967 is: 1,010,141,270.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,863,234.50 : 473,405,967 = 473,405,967 : x
  2. Step 2: Convert to fraction form
    221,863,234.50/473,405,967 = 473,405,967/x
  3. Step 3: Cross multiply
    221,863,234.50x = 473,405,967 × 473,405,967
  4. Step 4: Simplify right side
    221,863,234.50x = 224,113,209,591,205,088
  5. Step 5: Solve for x
    x = 224,113,209,591,205,088/221,863,234.50
  6. Step 6: Final answer
    x = 1,010,141,270.57

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.