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Finding the Third Proportional to 96,978,429 and 145,325,783

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Solution

The third proportional to 96,978,429 and 145,325,783 is: 217,776,091.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,978,429 : 145,325,783 = 145,325,783 : x
  2. Step 2: Convert to fraction form
    96,978,429/145,325,783 = 145,325,783/x
  3. Step 3: Cross multiply
    96,978,429x = 145,325,783 × 145,325,783
  4. Step 4: Simplify right side
    96,978,429x = 21,119,583,204,563,088
  5. Step 5: Solve for x
    x = 21,119,583,204,563,088/96,978,429
  6. Step 6: Final answer
    x = 217,776,091.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.