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Finding the Third Proportional to 221,089,786.03 and 473,237,432.44

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Solution

The third proportional to 221,089,786.03 and 473,237,432.44 is: 1,012,953,476.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,089,786.03 : 473,237,432.44 = 473,237,432.44 : x
  2. Step 2: Convert to fraction form
    221,089,786.03/473,237,432.44 = 473,237,432.44/x
  3. Step 3: Cross multiply
    221,089,786.03x = 473,237,432.44 × 473,237,432.44
  4. Step 4: Simplify right side
    221,089,786.03x = 223,953,667,460,037,376
  5. Step 5: Solve for x
    x = 223,953,667,460,037,376/221,089,786.03
  6. Step 6: Final answer
    x = 1,012,953,476.87

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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.