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Finding the Third Proportional to 106,009,732 and 224,242,240

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Solution

The third proportional to 106,009,732 and 224,242,240 is: 474,339,301.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,009,732 : 224,242,240 = 224,242,240 : x
  2. Step 2: Convert to fraction form
    106,009,732/224,242,240 = 224,242,240/x
  3. Step 3: Cross multiply
    106,009,732x = 224,242,240 × 224,242,240
  4. Step 4: Simplify right side
    106,009,732x = 50,284,582,200,217,600
  5. Step 5: Solve for x
    x = 50,284,582,200,217,600/106,009,732
  6. Step 6: Final answer
    x = 474,339,301.23

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.