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Finding the Third Proportional to 141,321,248 and 212,689,488

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Solution

The third proportional to 141,321,248 and 212,689,488 is: 320,099,199.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,321,248 : 212,689,488 = 212,689,488 : x
  2. Step 2: Convert to fraction form
    141,321,248/212,689,488 = 212,689,488/x
  3. Step 3: Cross multiply
    141,321,248x = 212,689,488 × 212,689,488
  4. Step 4: Simplify right side
    141,321,248x = 45,236,818,305,702,144
  5. Step 5: Solve for x
    x = 45,236,818,305,702,144/141,321,248
  6. Step 6: Final answer
    x = 320,099,199.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.