Home / 205,326,238,391.43-301,838,678,952.97

Finding the Third Proportional to 205,326,238,391.43 and 301,838,678,952.97

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Solution

The third proportional to 205,326,238,391.43 and 301,838,678,952.97 is: 443,716,247,985.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,326,238,391.43 : 301,838,678,952.97 = 301,838,678,952.97 : x
  2. Step 2: Convert to fraction form
    205,326,238,391.43/301,838,678,952.97 = 301,838,678,952.97/x
  3. Step 3: Cross multiply
    205,326,238,391.43x = 301,838,678,952.97 × 301,838,678,952.97
  4. Step 4: Simplify right side
    205,326,238,391.43x = 91,106,588,112,074,081,042,432
  5. Step 5: Solve for x
    x = 91,106,588,112,074,081,042,432/205,326,238,391.43
  6. Step 6: Final answer
    x = 443,716,247,985.76

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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.