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Finding the Third Proportional to 257,018,538.38 and 391,554,091.13

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Solution

The third proportional to 257,018,538.38 and 391,554,091.13 is: 596,511,859.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,018,538.38 : 391,554,091.13 = 391,554,091.13 : x
  2. Step 2: Convert to fraction form
    257,018,538.38/391,554,091.13 = 391,554,091.13/x
  3. Step 3: Cross multiply
    257,018,538.38x = 391,554,091.13 × 391,554,091.13
  4. Step 4: Simplify right side
    257,018,538.38x = 153,314,606,276,724,800
  5. Step 5: Solve for x
    x = 153,314,606,276,724,800/257,018,538.38
  6. Step 6: Final answer
    x = 596,511,859.60

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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.