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Finding the Third Proportional to 175,800,785 and 258,620,533.50

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Solution

The third proportional to 175,800,785 and 258,620,533.50 is: 380,456,664.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,800,785 : 258,620,533.50 = 258,620,533.50 : x
  2. Step 2: Convert to fraction form
    175,800,785/258,620,533.50 = 258,620,533.50/x
  3. Step 3: Cross multiply
    175,800,785x = 258,620,533.50 × 258,620,533.50
  4. Step 4: Simplify right side
    175,800,785x = 66,884,580,347,824,624
  5. Step 5: Solve for x
    x = 66,884,580,347,824,624/175,800,785
  6. Step 6: Final answer
    x = 380,456,664.90

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.