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Finding the Third Proportional to 231,703,984.50 and 349,710,735.75

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Solution

The third proportional to 231,703,984.50 and 349,710,735.75 is: 527,818,280.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,703,984.50 : 349,710,735.75 = 349,710,735.75 : x
  2. Step 2: Convert to fraction form
    231,703,984.50/349,710,735.75 = 349,710,735.75/x
  3. Step 3: Cross multiply
    231,703,984.50x = 349,710,735.75 × 349,710,735.75
  4. Step 4: Simplify right side
    231,703,984.50x = 122,297,598,698,806,336
  5. Step 5: Solve for x
    x = 122,297,598,698,806,336/231,703,984.50
  6. Step 6: Final answer
    x = 527,818,280.56

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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.