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Finding the Third Proportional to 74,313,216 and 155,402,304

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Solution

The third proportional to 74,313,216 and 155,402,304 is: 324,974,175.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,313,216 : 155,402,304 = 155,402,304 : x
  2. Step 2: Convert to fraction form
    74,313,216/155,402,304 = 155,402,304/x
  3. Step 3: Cross multiply
    74,313,216x = 155,402,304 × 155,402,304
  4. Step 4: Simplify right side
    74,313,216x = 24,149,876,088,508,416
  5. Step 5: Solve for x
    x = 24,149,876,088,508,416/74,313,216
  6. Step 6: Final answer
    x = 324,974,175.37

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.