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Finding the Third Proportional to 74,154,952.50 and 156,717,451.50

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Solution

The third proportional to 74,154,952.50 and 156,717,451.50 is: 331,203,227.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,154,952.50 : 156,717,451.50 = 156,717,451.50 : x
  2. Step 2: Convert to fraction form
    74,154,952.50/156,717,451.50 = 156,717,451.50/x
  3. Step 3: Cross multiply
    74,154,952.50x = 156,717,451.50 × 156,717,451.50
  4. Step 4: Simplify right side
    74,154,952.50x = 24,560,359,604,654,852
  5. Step 5: Solve for x
    x = 24,560,359,604,654,852/74,154,952.50
  6. Step 6: Final answer
    x = 331,203,227.52

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.