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Finding the Third Proportional to 195,665,425 and 426,487,153

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Solution

The third proportional to 195,665,425 and 426,487,153 is: 929,603,641.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,665,425 : 426,487,153 = 426,487,153 : x
  2. Step 2: Convert to fraction form
    195,665,425/426,487,153 = 426,487,153/x
  3. Step 3: Cross multiply
    195,665,425x = 426,487,153 × 426,487,153
  4. Step 4: Simplify right side
    195,665,425x = 181,891,291,674,045,408
  5. Step 5: Solve for x
    x = 181,891,291,674,045,408/195,665,425
  6. Step 6: Final answer
    x = 929,603,641.90

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.