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Finding the Third Proportional to 149,552,938 and 310,994,408

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Solution

The third proportional to 149,552,938 and 310,994,408 is: 646,710,944.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,552,938 : 310,994,408 = 310,994,408 : x
  2. Step 2: Convert to fraction form
    149,552,938/310,994,408 = 310,994,408/x
  3. Step 3: Cross multiply
    149,552,938x = 310,994,408 × 310,994,408
  4. Step 4: Simplify right side
    149,552,938x = 96,717,521,807,270,464
  5. Step 5: Solve for x
    x = 96,717,521,807,270,464/149,552,938
  6. Step 6: Final answer
    x = 646,710,944.64

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.