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Finding the Third Proportional to 145,419,408 and 318,202,560

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Solution

The third proportional to 145,419,408 and 318,202,560 is: 696,281,676.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,419,408 : 318,202,560 = 318,202,560 : x
  2. Step 2: Convert to fraction form
    145,419,408/318,202,560 = 318,202,560/x
  3. Step 3: Cross multiply
    145,419,408x = 318,202,560 × 318,202,560
  4. Step 4: Simplify right side
    145,419,408x = 101,252,869,190,553,600
  5. Step 5: Solve for x
    x = 101,252,869,190,553,600/145,419,408
  6. Step 6: Final answer
    x = 696,281,676.45

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.