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Finding the Third Proportional to 42,162,841 and 97,597,664.50

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Solution

The third proportional to 42,162,841 and 97,597,664.50 is: 225,917,037.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,162,841 : 97,597,664.50 = 97,597,664.50 : x
  2. Step 2: Convert to fraction form
    42,162,841/97,597,664.50 = 97,597,664.50/x
  3. Step 3: Cross multiply
    42,162,841x = 97,597,664.50 × 97,597,664.50
  4. Step 4: Simplify right side
    42,162,841x = 9,525,304,115,854,560
  5. Step 5: Solve for x
    x = 9,525,304,115,854,560/42,162,841
  6. Step 6: Final answer
    x = 225,917,037.13

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.