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Finding the Third Proportional to 43,817,984 and 68,207,142

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Solution

The third proportional to 43,817,984 and 68,207,142 is: 106,171,343.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,817,984 : 68,207,142 = 68,207,142 : x
  2. Step 2: Convert to fraction form
    43,817,984/68,207,142 = 68,207,142/x
  3. Step 3: Cross multiply
    43,817,984x = 68,207,142 × 68,207,142
  4. Step 4: Simplify right side
    43,817,984x = 4,652,214,219,808,164
  5. Step 5: Solve for x
    x = 4,652,214,219,808,164/43,817,984
  6. Step 6: Final answer
    x = 106,171,343.25

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.