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Finding the Third Proportional to 221,130 and 473,812.03

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Solution

The third proportional to 221,130 and 473,812.03 is: 1,015,230.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,130 : 473,812.03 = 473,812.03 : x
  2. Step 2: Convert to fraction form
    221,130/473,812.03 = 473,812.03/x
  3. Step 3: Cross multiply
    221,130x = 473,812.03 × 473,812.03
  4. Step 4: Simplify right side
    221,130x = 224,497,840,957.25
  5. Step 5: Solve for x
    x = 224,497,840,957.25/221,130
  6. Step 6: Final answer
    x = 1,015,230.14

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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.