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Finding the Third Proportional to 65,725,819.50 and 102,172,980

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Solution

The third proportional to 65,725,819.50 and 102,172,980 is: 158,831,307.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,725,819.50 : 102,172,980 = 102,172,980 : x
  2. Step 2: Convert to fraction form
    65,725,819.50/102,172,980 = 102,172,980/x
  3. Step 3: Cross multiply
    65,725,819.50x = 102,172,980 × 102,172,980
  4. Step 4: Simplify right side
    65,725,819.50x = 10,439,317,842,080,400
  5. Step 5: Solve for x
    x = 10,439,317,842,080,400/65,725,819.50
  6. Step 6: Final answer
    x = 158,831,307.41

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.