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Finding the Third Proportional to 201,163,230 and 307,591,429.50

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Solution

The third proportional to 201,163,230 and 307,591,429.50 is: 470,326,945.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,163,230 : 307,591,429.50 = 307,591,429.50 : x
  2. Step 2: Convert to fraction form
    201,163,230/307,591,429.50 = 307,591,429.50/x
  3. Step 3: Cross multiply
    201,163,230x = 307,591,429.50 × 307,591,429.50
  4. Step 4: Simplify right side
    201,163,230x = 94,612,487,501,853,472
  5. Step 5: Solve for x
    x = 94,612,487,501,853,472/201,163,230
  6. Step 6: Final answer
    x = 470,326,945.45

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.