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Finding the Third Proportional to 231,237,030 and 332,368,776

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Solution

The third proportional to 231,237,030 and 332,368,776 is: 477,730,592.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,237,030 : 332,368,776 = 332,368,776 : x
  2. Step 2: Convert to fraction form
    231,237,030/332,368,776 = 332,368,776/x
  3. Step 3: Cross multiply
    231,237,030x = 332,368,776 × 332,368,776
  4. Step 4: Simplify right side
    231,237,030x = 110,469,003,259,738,176
  5. Step 5: Solve for x
    x = 110,469,003,259,738,176/231,237,030
  6. Step 6: Final answer
    x = 477,730,592.11

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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.