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Finding the Third Proportional to 42,749,904.09 and 91,553,241.94

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Solution

The third proportional to 42,749,904.09 and 91,553,241.94 is: 196,070,524.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,749,904.09 : 91,553,241.94 = 91,553,241.94 : x
  2. Step 2: Convert to fraction form
    42,749,904.09/91,553,241.94 = 91,553,241.94/x
  3. Step 3: Cross multiply
    42,749,904.09x = 91,553,241.94 × 91,553,241.94
  4. Step 4: Simplify right side
    42,749,904.09x = 8,381,996,109,266,409
  5. Step 5: Solve for x
    x = 8,381,996,109,266,409/42,749,904.09
  6. Step 6: Final answer
    x = 196,070,524.30

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Why These Related Problems?

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