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Finding the Third Proportional to 228,837,548.25 and 496,686,187.13

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Solution

The third proportional to 228,837,548.25 and 496,686,187.13 is: 1,078,044,972.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,837,548.25 : 496,686,187.13 = 496,686,187.13 : x
  2. Step 2: Convert to fraction form
    228,837,548.25/496,686,187.13 = 496,686,187.13/x
  3. Step 3: Cross multiply
    228,837,548.25x = 496,686,187.13 × 496,686,187.13
  4. Step 4: Simplify right side
    228,837,548.25x = 246,697,168,480,770,528
  5. Step 5: Solve for x
    x = 246,697,168,480,770,528/228,837,548.25
  6. Step 6: Final answer
    x = 1,078,044,972.81

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.