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Finding the Third Proportional to 148,586,952 and 312,214,408

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Solution

The third proportional to 148,586,952 and 312,214,408 is: 656,032,277.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,586,952 : 312,214,408 = 312,214,408 : x
  2. Step 2: Convert to fraction form
    148,586,952/312,214,408 = 312,214,408/x
  3. Step 3: Cross multiply
    148,586,952x = 312,214,408 × 312,214,408
  4. Step 4: Simplify right side
    148,586,952x = 97,477,836,562,790,464
  5. Step 5: Solve for x
    x = 97,477,836,562,790,464/148,586,952
  6. Step 6: Final answer
    x = 656,032,277.74

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.