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Finding the Third Proportional to 254,895,013.69 and 557,174,926.13

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Solution

The third proportional to 254,895,013.69 and 557,174,926.13 is: 1,217,928,486.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,895,013.69 : 557,174,926.13 = 557,174,926.13 : x
  2. Step 2: Convert to fraction form
    254,895,013.69/557,174,926.13 = 557,174,926.13/x
  3. Step 3: Cross multiply
    254,895,013.69x = 557,174,926.13 × 557,174,926.13
  4. Step 4: Simplify right side
    254,895,013.69x = 310,443,898,302,399,232
  5. Step 5: Solve for x
    x = 310,443,898,302,399,232/254,895,013.69
  6. Step 6: Final answer
    x = 1,217,928,486.76

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.