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Finding the Third Proportional to 301,247,169 and 465,503,692.50

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Solution

The third proportional to 301,247,169 and 465,503,692.50 is: 719,321,905.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,247,169 : 465,503,692.50 = 465,503,692.50 : x
  2. Step 2: Convert to fraction form
    301,247,169/465,503,692.50 = 465,503,692.50/x
  3. Step 3: Cross multiply
    301,247,169x = 465,503,692.50 × 465,503,692.50
  4. Step 4: Simplify right side
    301,247,169x = 216,693,687,731,134,560
  5. Step 5: Solve for x
    x = 216,693,687,731,134,560/301,247,169
  6. Step 6: Final answer
    x = 719,321,905.83

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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.