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Finding the Third Proportional to 152,237,776 and 231,925,632

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Solution

The third proportional to 152,237,776 and 231,925,632 is: 353,325,568.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,237,776 : 231,925,632 = 231,925,632 : x
  2. Step 2: Convert to fraction form
    152,237,776/231,925,632 = 231,925,632/x
  3. Step 3: Cross multiply
    152,237,776x = 231,925,632 × 231,925,632
  4. Step 4: Simplify right side
    152,237,776x = 53,789,498,778,599,424
  5. Step 5: Solve for x
    x = 53,789,498,778,599,424/152,237,776
  6. Step 6: Final answer
    x = 353,325,568.67

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.