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Finding the Third Proportional to 78,548,689 and 165,237,392

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Solution

The third proportional to 78,548,689 and 165,237,392 is: 347,598,363.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,548,689 : 165,237,392 = 165,237,392 : x
  2. Step 2: Convert to fraction form
    78,548,689/165,237,392 = 165,237,392/x
  3. Step 3: Cross multiply
    78,548,689x = 165,237,392 × 165,237,392
  4. Step 4: Simplify right side
    78,548,689x = 27,303,395,714,961,664
  5. Step 5: Solve for x
    x = 27,303,395,714,961,664/78,548,689
  6. Step 6: Final answer
    x = 347,598,363.04

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.