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Finding the Third Proportional to 70,181,523 and 156,499,987.50

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Solution

The third proportional to 70,181,523 and 156,499,987.50 is: 348,984,248.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,181,523 : 156,499,987.50 = 156,499,987.50 : x
  2. Step 2: Convert to fraction form
    70,181,523/156,499,987.50 = 156,499,987.50/x
  3. Step 3: Cross multiply
    70,181,523x = 156,499,987.50 × 156,499,987.50
  4. Step 4: Simplify right side
    70,181,523x = 24,492,246,087,500,156
  5. Step 5: Solve for x
    x = 24,492,246,087,500,156/70,181,523
  6. Step 6: Final answer
    x = 348,984,248.85

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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.