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Finding the Third Proportional to 268,874,138.81 and 578,609,092.13

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Solution

The third proportional to 268,874,138.81 and 578,609,092.13 is: 1,245,149,433.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,874,138.81 : 578,609,092.13 = 578,609,092.13 : x
  2. Step 2: Convert to fraction form
    268,874,138.81/578,609,092.13 = 578,609,092.13/x
  3. Step 3: Cross multiply
    268,874,138.81x = 578,609,092.13 × 578,609,092.13
  4. Step 4: Simplify right side
    268,874,138.81x = 334,788,481,489,716,736
  5. Step 5: Solve for x
    x = 334,788,481,489,716,736/268,874,138.81
  6. Step 6: Final answer
    x = 1,245,149,433.00

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.