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Finding the Third Proportional to 272,329,415,694 and 595,959,723,769.50

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Solution

The third proportional to 272,329,415,694 and 595,959,723,769.50 is: 1,304,185,195,897.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,329,415,694 : 595,959,723,769.50 = 595,959,723,769.50 : x
  2. Step 2: Convert to fraction form
    272,329,415,694/595,959,723,769.50 = 595,959,723,769.50/x
  3. Step 3: Cross multiply
    272,329,415,694x = 595,959,723,769.50 × 595,959,723,769.50
  4. Step 4: Simplify right side
    272,329,415,694x = 355,167,992,355,418,756,087,808
  5. Step 5: Solve for x
    x = 355,167,992,355,418,756,087,808/272,329,415,694
  6. Step 6: Final answer
    x = 1,304,185,195,897.09

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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.