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Finding the Third Proportional to 195,005,872,024 and 274,611,239,358

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Solution

The third proportional to 195,005,872,024 and 274,611,239,358 is: 386,713,138,425.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,005,872,024 : 274,611,239,358 = 274,611,239,358 : x
  2. Step 2: Convert to fraction form
    195,005,872,024/274,611,239,358 = 274,611,239,358/x
  3. Step 3: Cross multiply
    195,005,872,024x = 274,611,239,358 × 274,611,239,358
  4. Step 4: Simplify right side
    195,005,872,024x = 75,411,332,781,736,764,375,040
  5. Step 5: Solve for x
    x = 75,411,332,781,736,764,375,040/195,005,872,024
  6. Step 6: Final answer
    x = 386,713,138,425.16

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.