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Finding the Third Proportional to 45,998,965.97 and 98,740,487.11

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Solution

The third proportional to 45,998,965.97 and 98,740,487.11 is: 211,954,412.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,998,965.97 : 98,740,487.11 = 98,740,487.11 : x
  2. Step 2: Convert to fraction form
    45,998,965.97/98,740,487.11 = 98,740,487.11/x
  3. Step 3: Cross multiply
    45,998,965.97x = 98,740,487.11 × 98,740,487.11
  4. Step 4: Simplify right side
    45,998,965.97x = 9,749,683,794,596,650
  5. Step 5: Solve for x
    x = 9,749,683,794,596,650/45,998,965.97
  6. Step 6: Final answer
    x = 211,954,412.22

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.