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Finding the Third Proportional to 235,179,534 and 365,625,580.50

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Solution

The third proportional to 235,179,534 and 365,625,580.50 is: 568,425,588.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,179,534 : 365,625,580.50 = 365,625,580.50 : x
  2. Step 2: Convert to fraction form
    235,179,534/365,625,580.50 = 365,625,580.50/x
  3. Step 3: Cross multiply
    235,179,534x = 365,625,580.50 × 365,625,580.50
  4. Step 4: Simplify right side
    235,179,534x = 133,682,065,115,961,984
  5. Step 5: Solve for x
    x = 133,682,065,115,961,984/235,179,534
  6. Step 6: Final answer
    x = 568,425,588.92

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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.