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Finding the Third Proportional to 97,842,514.50 and 209,690,877

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Solution

The third proportional to 97,842,514.50 and 209,690,877 is: 449,398,343.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,842,514.50 : 209,690,877 = 209,690,877 : x
  2. Step 2: Convert to fraction form
    97,842,514.50/209,690,877 = 209,690,877/x
  3. Step 3: Cross multiply
    97,842,514.50x = 209,690,877 × 209,690,877
  4. Step 4: Simplify right side
    97,842,514.50x = 43,970,263,897,029,128
  5. Step 5: Solve for x
    x = 43,970,263,897,029,128/97,842,514.50
  6. Step 6: Final answer
    x = 449,398,343.06

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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.