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Finding the Third Proportional to 231,704,266.50 and 349,711,117.88

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Solution

The third proportional to 231,704,266.50 and 349,711,117.88 is: 527,818,791.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,704,266.50 : 349,711,117.88 = 349,711,117.88 : x
  2. Step 2: Convert to fraction form
    231,704,266.50/349,711,117.88 = 349,711,117.88/x
  3. Step 3: Cross multiply
    231,704,266.50x = 349,711,117.88 × 349,711,117.88
  4. Step 4: Simplify right side
    231,704,266.50x = 122,297,865,965,382,144
  5. Step 5: Solve for x
    x = 122,297,865,965,382,144/231,704,266.50
  6. Step 6: Final answer
    x = 527,818,791.66

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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.