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Finding the Third Proportional to 176,771,119.50 and 384,142,743

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Solution

The third proportional to 176,771,119.50 and 384,142,743 is: 834,783,687.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,771,119.50 : 384,142,743 = 384,142,743 : x
  2. Step 2: Convert to fraction form
    176,771,119.50/384,142,743 = 384,142,743/x
  3. Step 3: Cross multiply
    176,771,119.50x = 384,142,743 × 384,142,743
  4. Step 4: Simplify right side
    176,771,119.50x = 147,565,646,999,564,064
  5. Step 5: Solve for x
    x = 147,565,646,999,564,064/176,771,119.50
  6. Step 6: Final answer
    x = 834,783,687.61

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.