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Finding the Third Proportional to 176,794,036 and 385,701,944

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Solution

The third proportional to 176,794,036 and 385,701,944 is: 841,464,977.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,794,036 : 385,701,944 = 385,701,944 : x
  2. Step 2: Convert to fraction form
    176,794,036/385,701,944 = 385,701,944/x
  3. Step 3: Cross multiply
    176,794,036x = 385,701,944 × 385,701,944
  4. Step 4: Simplify right side
    176,794,036x = 148,765,989,605,379,136
  5. Step 5: Solve for x
    x = 148,765,989,605,379,136/176,794,036
  6. Step 6: Final answer
    x = 841,464,977.96

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.