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Finding the Third Proportional to 78,210,864 and 106,509,847

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Solution

The third proportional to 78,210,864 and 106,509,847 is: 145,048,231.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,210,864 : 106,509,847 = 106,509,847 : x
  2. Step 2: Convert to fraction form
    78,210,864/106,509,847 = 106,509,847/x
  3. Step 3: Cross multiply
    78,210,864x = 106,509,847 × 106,509,847
  4. Step 4: Simplify right side
    78,210,864x = 11,344,347,507,963,408
  5. Step 5: Solve for x
    x = 11,344,347,507,963,408/78,210,864
  6. Step 6: Final answer
    x = 145,048,231.51

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.