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Finding the Third Proportional to 198,772,271 and 425,179,468

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Solution

The third proportional to 198,772,271 and 425,179,468 is: 909,470,818.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,772,271 : 425,179,468 = 425,179,468 : x
  2. Step 2: Convert to fraction form
    198,772,271/425,179,468 = 425,179,468/x
  3. Step 3: Cross multiply
    198,772,271x = 425,179,468 × 425,179,468
  4. Step 4: Simplify right side
    198,772,271x = 180,777,580,008,763,008
  5. Step 5: Solve for x
    x = 180,777,580,008,763,008/198,772,271
  6. Step 6: Final answer
    x = 909,470,818.54

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.