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Finding the Third Proportional to 201,079,999.50 and 307,468,402.50

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Solution

The third proportional to 201,079,999.50 and 307,468,402.50 is: 470,145,309.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,079,999.50 : 307,468,402.50 = 307,468,402.50 : x
  2. Step 2: Convert to fraction form
    201,079,999.50/307,468,402.50 = 307,468,402.50/x
  3. Step 3: Cross multiply
    201,079,999.50x = 307,468,402.50 × 307,468,402.50
  4. Step 4: Simplify right side
    201,079,999.50x = 94,536,818,535,902,000
  5. Step 5: Solve for x
    x = 94,536,818,535,902,000/201,079,999.50
  6. Step 6: Final answer
    x = 470,145,309.19

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Why These Related Problems?

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