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Finding the Third Proportional to 228,381,650 and 342,642,480

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Solution

The third proportional to 228,381,650 and 342,642,480 is: 514,068,748.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,381,650 : 342,642,480 = 342,642,480 : x
  2. Step 2: Convert to fraction form
    228,381,650/342,642,480 = 342,642,480/x
  3. Step 3: Cross multiply
    228,381,650x = 342,642,480 × 342,642,480
  4. Step 4: Simplify right side
    228,381,650x = 117,403,869,100,550,400
  5. Step 5: Solve for x
    x = 117,403,869,100,550,400/228,381,650
  6. Step 6: Final answer
    x = 514,068,748.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.