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Finding the Third Proportional to 96,299,608 and 208,306,304

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Solution

The third proportional to 96,299,608 and 208,306,304 is: 450,588,711.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,299,608 : 208,306,304 = 208,306,304 : x
  2. Step 2: Convert to fraction form
    96,299,608/208,306,304 = 208,306,304/x
  3. Step 3: Cross multiply
    96,299,608x = 208,306,304 × 208,306,304
  4. Step 4: Simplify right side
    96,299,608x = 43,391,516,286,140,416
  5. Step 5: Solve for x
    x = 43,391,516,286,140,416/96,299,608
  6. Step 6: Final answer
    x = 450,588,711.49

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.