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Finding the Third Proportional to 97,842,495 and 209,690,856

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Solution

The third proportional to 97,842,495 and 209,690,856 is: 449,398,342.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,842,495 : 209,690,856 = 209,690,856 : x
  2. Step 2: Convert to fraction form
    97,842,495/209,690,856 = 209,690,856/x
  3. Step 3: Cross multiply
    97,842,495x = 209,690,856 × 209,690,856
  4. Step 4: Simplify right side
    97,842,495x = 43,970,255,090,012,736
  5. Step 5: Solve for x
    x = 43,970,255,090,012,736/97,842,495
  6. Step 6: Final answer
    x = 449,398,342.61

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.