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Finding the Third Proportional to 180,376,216 and 278,847,602

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Solution

The third proportional to 180,376,216 and 278,847,602 is: 431,076,706.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,376,216 : 278,847,602 = 278,847,602 : x
  2. Step 2: Convert to fraction form
    180,376,216/278,847,602 = 278,847,602/x
  3. Step 3: Cross multiply
    180,376,216x = 278,847,602 × 278,847,602
  4. Step 4: Simplify right side
    180,376,216x = 77,755,985,141,150,400
  5. Step 5: Solve for x
    x = 77,755,985,141,150,400/180,376,216
  6. Step 6: Final answer
    x = 431,076,706.59

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.