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Finding the Third Proportional to 205,628,886 and 445,114,476

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Solution

The third proportional to 205,628,886 and 445,114,476 is: 963,516,851.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,628,886 : 445,114,476 = 445,114,476 : x
  2. Step 2: Convert to fraction form
    205,628,886/445,114,476 = 445,114,476/x
  3. Step 3: Cross multiply
    205,628,886x = 445,114,476 × 445,114,476
  4. Step 4: Simplify right side
    205,628,886x = 198,126,896,744,754,560
  5. Step 5: Solve for x
    x = 198,126,896,744,754,560/205,628,886
  6. Step 6: Final answer
    x = 963,516,851.15

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.