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Finding the Third Proportional to 97,104,864 and 208,060,395

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Solution

The third proportional to 97,104,864 and 208,060,395 is: 445,797,730.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,104,864 : 208,060,395 = 208,060,395 : x
  2. Step 2: Convert to fraction form
    97,104,864/208,060,395 = 208,060,395/x
  3. Step 3: Cross multiply
    97,104,864x = 208,060,395 × 208,060,395
  4. Step 4: Simplify right side
    97,104,864x = 43,289,127,967,556,024
  5. Step 5: Solve for x
    x = 43,289,127,967,556,024/97,104,864
  6. Step 6: Final answer
    x = 445,797,730.25

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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.