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Finding the Third Proportional to 253,808,446 and 342,447,188

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Solution

The third proportional to 253,808,446 and 342,447,188 is: 462,041,663.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,808,446 : 342,447,188 = 342,447,188 : x
  2. Step 2: Convert to fraction form
    253,808,446/342,447,188 = 342,447,188/x
  3. Step 3: Cross multiply
    253,808,446x = 342,447,188 × 342,447,188
  4. Step 4: Simplify right side
    253,808,446x = 117,270,076,569,107,344
  5. Step 5: Solve for x
    x = 117,270,076,569,107,344/253,808,446
  6. Step 6: Final answer
    x = 462,041,663.38

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.