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Finding the Third Proportional to 97,217,010 and 211,124,826

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Solution

The third proportional to 97,217,010 and 211,124,826 is: 458,496,842.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,217,010 : 211,124,826 = 211,124,826 : x
  2. Step 2: Convert to fraction form
    97,217,010/211,124,826 = 211,124,826/x
  3. Step 3: Cross multiply
    97,217,010x = 211,124,826 × 211,124,826
  4. Step 4: Simplify right side
    97,217,010x = 44,573,692,153,530,272
  5. Step 5: Solve for x
    x = 44,573,692,153,530,272/97,217,010
  6. Step 6: Final answer
    x = 458,496,842.82

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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.