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Finding the Third Proportional to 60,154,320 and 127,166,208

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Solution

The third proportional to 60,154,320 and 127,166,208 is: 268,829,311.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,154,320 : 127,166,208 = 127,166,208 : x
  2. Step 2: Convert to fraction form
    60,154,320/127,166,208 = 127,166,208/x
  3. Step 3: Cross multiply
    60,154,320x = 127,166,208 × 127,166,208
  4. Step 4: Simplify right side
    60,154,320x = 16,171,244,457,099,264
  5. Step 5: Solve for x
    x = 16,171,244,457,099,264/60,154,320
  6. Step 6: Final answer
    x = 268,829,311.96

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.