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Finding the Third Proportional to 180,376,214 and 278,847,599

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Solution

The third proportional to 180,376,214 and 278,847,599 is: 431,076,702.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,376,214 : 278,847,599 = 278,847,599 : x
  2. Step 2: Convert to fraction form
    180,376,214/278,847,599 = 278,847,599/x
  3. Step 3: Cross multiply
    180,376,214x = 278,847,599 × 278,847,599
  4. Step 4: Simplify right side
    180,376,214x = 77,755,983,468,064,800
  5. Step 5: Solve for x
    x = 77,755,983,468,064,800/180,376,214
  6. Step 6: Final answer
    x = 431,076,702.10

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Why These Related Problems?

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