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Finding the Third Proportional to 119,101,565 and 182,156,084

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Solution

The third proportional to 119,101,565 and 182,156,084 is: 278,592,803.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,101,565 : 182,156,084 = 182,156,084 : x
  2. Step 2: Convert to fraction form
    119,101,565/182,156,084 = 182,156,084/x
  3. Step 3: Cross multiply
    119,101,565x = 182,156,084 × 182,156,084
  4. Step 4: Simplify right side
    119,101,565x = 33,180,838,938,215,056
  5. Step 5: Solve for x
    x = 33,180,838,938,215,056/119,101,565
  6. Step 6: Final answer
    x = 278,592,803.87

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.