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Finding the Third Proportional to 97,423,780 and 214,132,040

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Solution

The third proportional to 97,423,780 and 214,132,040 is: 470,650,292.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,423,780 : 214,132,040 = 214,132,040 : x
  2. Step 2: Convert to fraction form
    97,423,780/214,132,040 = 214,132,040/x
  3. Step 3: Cross multiply
    97,423,780x = 214,132,040 × 214,132,040
  4. Step 4: Simplify right side
    97,423,780x = 45,852,530,554,561,600
  5. Step 5: Solve for x
    x = 45,852,530,554,561,600/97,423,780
  6. Step 6: Final answer
    x = 470,650,292.51

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.