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Finding the Third Proportional to 97,217,091 and 211,124,961

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Solution

The third proportional to 97,217,091 and 211,124,961 is: 458,497,047.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,217,091 : 211,124,961 = 211,124,961 : x
  2. Step 2: Convert to fraction form
    97,217,091/211,124,961 = 211,124,961/x
  3. Step 3: Cross multiply
    97,217,091x = 211,124,961 × 211,124,961
  4. Step 4: Simplify right side
    97,217,091x = 44,573,749,157,251,520
  5. Step 5: Solve for x
    x = 44,573,749,157,251,520/97,217,091
  6. Step 6: Final answer
    x = 458,497,047.16

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.