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Finding the Third Proportional to 70,889,264 and 106,215,636

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Solution

The third proportional to 70,889,264 and 106,215,636 is: 159,146,261.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,889,264 : 106,215,636 = 106,215,636 : x
  2. Step 2: Convert to fraction form
    70,889,264/106,215,636 = 106,215,636/x
  3. Step 3: Cross multiply
    70,889,264x = 106,215,636 × 106,215,636
  4. Step 4: Simplify right side
    70,889,264x = 11,281,761,330,884,496
  5. Step 5: Solve for x
    x = 11,281,761,330,884,496/70,889,264
  6. Step 6: Final answer
    x = 159,146,261.29

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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.