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Finding the Third Proportional to 97,842,501 and 209,690,853.75

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Solution

The third proportional to 97,842,501 and 209,690,853.75 is: 449,398,305.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,842,501 : 209,690,853.75 = 209,690,853.75 : x
  2. Step 2: Convert to fraction form
    97,842,501/209,690,853.75 = 209,690,853.75/x
  3. Step 3: Cross multiply
    97,842,501x = 209,690,853.75 × 209,690,853.75
  4. Step 4: Simplify right side
    97,842,501x = 43,970,254,146,403,888
  5. Step 5: Solve for x
    x = 43,970,254,146,403,888/97,842,501
  6. Step 6: Final answer
    x = 449,398,305.41

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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.