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Finding the Third Proportional to 216,148.50 and 473,212.13

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Solution

The third proportional to 216,148.50 and 473,212.13 is: 1,035,999.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,148.50 : 473,212.13 = 473,212.13 : x
  2. Step 2: Convert to fraction form
    216,148.50/473,212.13 = 473,212.13/x
  3. Step 3: Cross multiply
    216,148.50x = 473,212.13 × 473,212.13
  4. Step 4: Simplify right side
    216,148.50x = 223,929,715,247.02
  5. Step 5: Solve for x
    x = 223,929,715,247.02/216,148.50
  6. Step 6: Final answer
    x = 1,035,999.40

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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.