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Finding the Third Proportional to 204,745,927,351 and 445,128,977,780

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Solution

The third proportional to 204,745,927,351 and 445,128,977,780 is: 967,735,033,477.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,745,927,351 : 445,128,977,780 = 445,128,977,780 : x
  2. Step 2: Convert to fraction form
    204,745,927,351/445,128,977,780 = 445,128,977,780/x
  3. Step 3: Cross multiply
    204,745,927,351x = 445,128,977,780 × 445,128,977,780
  4. Step 4: Simplify right side
    204,745,927,351x = 198,139,806,859,467,717,345,280
  5. Step 5: Solve for x
    x = 198,139,806,859,467,717,345,280/204,745,927,351
  6. Step 6: Final answer
    x = 967,735,033,477.82

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