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Finding the Third Proportional to 65,166,768.50 and 98,356,168.75

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Solution

The third proportional to 65,166,768.50 and 98,356,168.75 is: 148,448,912.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,166,768.50 : 98,356,168.75 = 98,356,168.75 : x
  2. Step 2: Convert to fraction form
    65,166,768.50/98,356,168.75 = 98,356,168.75/x
  3. Step 3: Cross multiply
    65,166,768.50x = 98,356,168.75 × 98,356,168.75
  4. Step 4: Simplify right side
    65,166,768.50x = 9,673,935,931,178,476
  5. Step 5: Solve for x
    x = 9,673,935,931,178,476/65,166,768.50
  6. Step 6: Final answer
    x = 148,448,912.75

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.