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Finding the Third Proportional to 42,749,905.50 and 91,553,245.50

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Solution

The third proportional to 42,749,905.50 and 91,553,245.50 is: 196,070,533.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,749,905.50 : 91,553,245.50 = 91,553,245.50 : x
  2. Step 2: Convert to fraction form
    42,749,905.50/91,553,245.50 = 91,553,245.50/x
  3. Step 3: Cross multiply
    42,749,905.50x = 91,553,245.50 × 91,553,245.50
  4. Step 4: Simplify right side
    42,749,905.50x = 8,381,996,761,583,270
  5. Step 5: Solve for x
    x = 8,381,996,761,583,270/42,749,905.50
  6. Step 6: Final answer
    x = 196,070,533.11

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.