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Finding the Third Proportional to 96,570,596 and 209,602,981

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Solution

The third proportional to 96,570,596 and 209,602,981 is: 454,935,678.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,570,596 : 209,602,981 = 209,602,981 : x
  2. Step 2: Convert to fraction form
    96,570,596/209,602,981 = 209,602,981/x
  3. Step 3: Cross multiply
    96,570,596x = 209,602,981 × 209,602,981
  4. Step 4: Simplify right side
    96,570,596x = 43,933,409,644,086,360
  5. Step 5: Solve for x
    x = 43,933,409,644,086,360/96,570,596
  6. Step 6: Final answer
    x = 454,935,678.81

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.