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Finding the Third Proportional to 97,842,516 and 209,690,880

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Solution

The third proportional to 97,842,516 and 209,690,880 is: 449,398,349.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,842,516 : 209,690,880 = 209,690,880 : x
  2. Step 2: Convert to fraction form
    97,842,516/209,690,880 = 209,690,880/x
  3. Step 3: Cross multiply
    97,842,516x = 209,690,880 × 209,690,880
  4. Step 4: Simplify right side
    97,842,516x = 43,970,265,155,174,400
  5. Step 5: Solve for x
    x = 43,970,265,155,174,400/97,842,516
  6. Step 6: Final answer
    x = 449,398,349.03

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