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Finding the Third Proportional to 97,473,969 and 214,077,019

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Solution

The third proportional to 97,473,969 and 214,077,019 is: 470,166,245.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,473,969 : 214,077,019 = 214,077,019 : x
  2. Step 2: Convert to fraction form
    97,473,969/214,077,019 = 214,077,019/x
  3. Step 3: Cross multiply
    97,473,969x = 214,077,019 × 214,077,019
  4. Step 4: Simplify right side
    97,473,969x = 45,828,970,063,926,360
  5. Step 5: Solve for x
    x = 45,828,970,063,926,360/97,473,969
  6. Step 6: Final answer
    x = 470,166,245.76

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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.