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Finding the Third Proportional to 238,203,454 and 364,312,546

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Solution

The third proportional to 238,203,454 and 364,312,546 is: 557,186,006.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,203,454 : 364,312,546 = 364,312,546 : x
  2. Step 2: Convert to fraction form
    238,203,454/364,312,546 = 364,312,546/x
  3. Step 3: Cross multiply
    238,203,454x = 364,312,546 × 364,312,546
  4. Step 4: Simplify right side
    238,203,454x = 132,723,631,173,002,112
  5. Step 5: Solve for x
    x = 132,723,631,173,002,112/238,203,454
  6. Step 6: Final answer
    x = 557,186,006.10

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.