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Finding the Third Proportional to 215,432,985 and 341,185,257

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Solution

The third proportional to 215,432,985 and 341,185,257 is: 540,341,487.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,432,985 : 341,185,257 = 341,185,257 : x
  2. Step 2: Convert to fraction form
    215,432,985/341,185,257 = 341,185,257/x
  3. Step 3: Cross multiply
    215,432,985x = 341,185,257 × 341,185,257
  4. Step 4: Simplify right side
    215,432,985x = 116,407,379,594,156,048
  5. Step 5: Solve for x
    x = 116,407,379,594,156,048/215,432,985
  6. Step 6: Final answer
    x = 540,341,487.61

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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.