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Finding the Third Proportional to 97,786,032 and 207,228,720

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Solution

The third proportional to 97,786,032 and 207,228,720 is: 439,160,292.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,786,032 : 207,228,720 = 207,228,720 : x
  2. Step 2: Convert to fraction form
    97,786,032/207,228,720 = 207,228,720/x
  3. Step 3: Cross multiply
    97,786,032x = 207,228,720 × 207,228,720
  4. Step 4: Simplify right side
    97,786,032x = 42,943,742,392,838,400
  5. Step 5: Solve for x
    x = 42,943,742,392,838,400/97,786,032
  6. Step 6: Final answer
    x = 439,160,292.27

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.