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Finding the Third Proportional to 148,702,418 and 323,860,948

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Solution

The third proportional to 148,702,418 and 323,860,948 is: 705,341,009.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,702,418 : 323,860,948 = 323,860,948 : x
  2. Step 2: Convert to fraction form
    148,702,418/323,860,948 = 323,860,948/x
  3. Step 3: Cross multiply
    148,702,418x = 323,860,948 × 323,860,948
  4. Step 4: Simplify right side
    148,702,418x = 104,885,913,639,458,704
  5. Step 5: Solve for x
    x = 104,885,913,639,458,704/148,702,418
  6. Step 6: Final answer
    x = 705,341,009.58

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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.