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Finding the Third Proportional to 70,181,613 and 156,500,154

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Solution

The third proportional to 70,181,613 and 156,500,154 is: 348,984,543.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,181,613 : 156,500,154 = 156,500,154 : x
  2. Step 2: Convert to fraction form
    70,181,613/156,500,154 = 156,500,154/x
  3. Step 3: Cross multiply
    70,181,613x = 156,500,154 × 156,500,154
  4. Step 4: Simplify right side
    70,181,613x = 24,492,298,202,023,716
  5. Step 5: Solve for x
    x = 24,492,298,202,023,716/70,181,613
  6. Step 6: Final answer
    x = 348,984,543.89

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.