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Finding the Third Proportional to 159,597,981 and 343,816,074

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Solution

The third proportional to 159,597,981 and 343,816,074 is: 740,670,351.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,597,981 : 343,816,074 = 343,816,074 : x
  2. Step 2: Convert to fraction form
    159,597,981/343,816,074 = 343,816,074/x
  3. Step 3: Cross multiply
    159,597,981x = 343,816,074 × 343,816,074
  4. Step 4: Simplify right side
    159,597,981x = 118,209,492,740,773,472
  5. Step 5: Solve for x
    x = 118,209,492,740,773,472/159,597,981
  6. Step 6: Final answer
    x = 740,670,351.84

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.