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Finding the Third Proportional to 97,104,748 and 208,060,162

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Solution

The third proportional to 97,104,748 and 208,060,162 is: 445,797,264.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,104,748 : 208,060,162 = 208,060,162 : x
  2. Step 2: Convert to fraction form
    97,104,748/208,060,162 = 208,060,162/x
  3. Step 3: Cross multiply
    97,104,748x = 208,060,162 × 208,060,162
  4. Step 4: Simplify right side
    97,104,748x = 43,289,031,011,466,240
  5. Step 5: Solve for x
    x = 43,289,031,011,466,240/97,104,748
  6. Step 6: Final answer
    x = 445,797,264.33

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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.