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Finding the Third Proportional to 221,089,817.25 and 473,237,496

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Solution

The third proportional to 221,089,817.25 and 473,237,496 is: 1,012,953,605.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,089,817.25 : 473,237,496 = 473,237,496 : x
  2. Step 2: Convert to fraction form
    221,089,817.25/473,237,496 = 473,237,496/x
  3. Step 3: Cross multiply
    221,089,817.25x = 473,237,496 × 473,237,496
  4. Step 4: Simplify right side
    221,089,817.25x = 223,953,727,620,350,016
  5. Step 5: Solve for x
    x = 223,953,727,620,350,016/221,089,817.25
  6. Step 6: Final answer
    x = 1,012,953,605.94

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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.