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Finding the Third Proportional to 205,139,569,071 and 445,592,760,135

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Solution

The third proportional to 205,139,569,071 and 445,592,760,135 is: 967,891,805,485.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,139,569,071 : 445,592,760,135 = 445,592,760,135 : x
  2. Step 2: Convert to fraction form
    205,139,569,071/445,592,760,135 = 445,592,760,135/x
  3. Step 3: Cross multiply
    205,139,569,071x = 445,592,760,135 × 445,592,760,135
  4. Step 4: Simplify right side
    205,139,569,071x = 198,552,907,884,727,650,746,368
  5. Step 5: Solve for x
    x = 198,552,907,884,727,650,746,368/205,139,569,071
  6. Step 6: Final answer
    x = 967,891,805,485.89

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.