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Finding the Third Proportional to 212,412,379.50 and 328,051,829.50

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Solution

The third proportional to 212,412,379.50 and 328,051,829.50 is: 506,646,566.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,412,379.50 : 328,051,829.50 = 328,051,829.50 : x
  2. Step 2: Convert to fraction form
    212,412,379.50/328,051,829.50 = 328,051,829.50/x
  3. Step 3: Cross multiply
    212,412,379.50x = 328,051,829.50 × 328,051,829.50
  4. Step 4: Simplify right side
    212,412,379.50x = 107,618,002,838,297,072
  5. Step 5: Solve for x
    x = 107,618,002,838,297,072/212,412,379.50
  6. Step 6: Final answer
    x = 506,646,566.89

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.