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Finding the Third Proportional to 156,158,369 and 342,957,613

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Solution

The third proportional to 156,158,369 and 342,957,613 is: 753,209,226.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,158,369 : 342,957,613 = 342,957,613 : x
  2. Step 2: Convert to fraction form
    156,158,369/342,957,613 = 342,957,613/x
  3. Step 3: Cross multiply
    156,158,369x = 342,957,613 × 342,957,613
  4. Step 4: Simplify right side
    156,158,369x = 117,619,924,314,657,776
  5. Step 5: Solve for x
    x = 117,619,924,314,657,776/156,158,369
  6. Step 6: Final answer
    x = 753,209,226.43

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.