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Finding the Third Proportional to 215,433,226 and 341,185,641

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Solution

The third proportional to 215,433,226 and 341,185,641 is: 540,342,099.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,433,226 : 341,185,641 = 341,185,641 : x
  2. Step 2: Convert to fraction form
    215,433,226/341,185,641 = 341,185,641/x
  3. Step 3: Cross multiply
    215,433,226x = 341,185,641 × 341,185,641
  4. Step 4: Simplify right side
    215,433,226x = 116,407,641,624,580,880
  5. Step 5: Solve for x
    x = 116,407,641,624,580,880/215,433,226
  6. Step 6: Final answer
    x = 540,342,099.43

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.