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Finding the Third Proportional to 171,076,896 and 247,176,624

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Solution

The third proportional to 171,076,896 and 247,176,624 is: 357,127,612.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,076,896 : 247,176,624 = 247,176,624 : x
  2. Step 2: Convert to fraction form
    171,076,896/247,176,624 = 247,176,624/x
  3. Step 3: Cross multiply
    171,076,896x = 247,176,624 × 247,176,624
  4. Step 4: Simplify right side
    171,076,896x = 61,096,283,452,037,376
  5. Step 5: Solve for x
    x = 61,096,283,452,037,376/171,076,896
  6. Step 6: Final answer
    x = 357,127,612.67

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.