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Finding the Third Proportional to 148,702,413 and 323,860,938

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Solution

The third proportional to 148,702,413 and 323,860,938 is: 705,340,989.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,702,413 : 323,860,938 = 323,860,938 : x
  2. Step 2: Convert to fraction form
    148,702,413/323,860,938 = 323,860,938/x
  3. Step 3: Cross multiply
    148,702,413x = 323,860,938 × 323,860,938
  4. Step 4: Simplify right side
    148,702,413x = 104,885,907,162,239,840
  5. Step 5: Solve for x
    x = 104,885,907,162,239,840/148,702,413
  6. Step 6: Final answer
    x = 705,340,989.74

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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.