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Finding the Third Proportional to 70,181,748 and 156,500,451

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Solution

The third proportional to 70,181,748 and 156,500,451 is: 348,985,197.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,181,748 : 156,500,451 = 156,500,451 : x
  2. Step 2: Convert to fraction form
    70,181,748/156,500,451 = 156,500,451/x
  3. Step 3: Cross multiply
    70,181,748x = 156,500,451 × 156,500,451
  4. Step 4: Simplify right side
    70,181,748x = 24,492,391,163,203,400
  5. Step 5: Solve for x
    x = 24,492,391,163,203,400/70,181,748
  6. Step 6: Final answer
    x = 348,985,197.17

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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.