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Finding the Third Proportional to 231,703,996.50 and 349,710,754.50

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Solution

The third proportional to 231,703,996.50 and 349,710,754.50 is: 527,818,309.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,703,996.50 : 349,710,754.50 = 349,710,754.50 : x
  2. Step 2: Convert to fraction form
    231,703,996.50/349,710,754.50 = 349,710,754.50/x
  3. Step 3: Cross multiply
    231,703,996.50x = 349,710,754.50 × 349,710,754.50
  4. Step 4: Simplify right side
    231,703,996.50x = 122,297,611,812,959,264
  5. Step 5: Solve for x
    x = 122,297,611,812,959,264/231,703,996.50
  6. Step 6: Final answer
    x = 527,818,309.83

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.