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Finding the Third Proportional to 257,018,444.06 and 391,553,942.06

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Solution

The third proportional to 257,018,444.06 and 391,553,942.06 is: 596,511,624.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,018,444.06 : 391,553,942.06 = 391,553,942.06 : x
  2. Step 2: Convert to fraction form
    257,018,444.06/391,553,942.06 = 391,553,942.06/x
  3. Step 3: Cross multiply
    257,018,444.06x = 391,553,942.06 × 391,553,942.06
  4. Step 4: Simplify right side
    257,018,444.06x = 153,314,489,544,683,616
  5. Step 5: Solve for x
    x = 153,314,489,544,683,616/257,018,444.06
  6. Step 6: Final answer
    x = 596,511,624.31

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.