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Finding the Third Proportional to 205,326,238,406 and 301,838,678,976

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Solution

The third proportional to 205,326,238,406 and 301,838,678,976 is: 443,716,248,021.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,326,238,406 : 301,838,678,976 = 301,838,678,976 : x
  2. Step 2: Convert to fraction form
    205,326,238,406/301,838,678,976 = 301,838,678,976/x
  3. Step 3: Cross multiply
    205,326,238,406x = 301,838,678,976 × 301,838,678,976
  4. Step 4: Simplify right side
    205,326,238,406x = 91,106,588,125,976,789,516,288
  5. Step 5: Solve for x
    x = 91,106,588,125,976,789,516,288/205,326,238,406
  6. Step 6: Final answer
    x = 443,716,248,021.98

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.