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Finding the Third Proportional to 201,397,410 and 310,992,834

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Solution

The third proportional to 201,397,410 and 310,992,834 is: 480,227,341.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,397,410 : 310,992,834 = 310,992,834 : x
  2. Step 2: Convert to fraction form
    201,397,410/310,992,834 = 310,992,834/x
  3. Step 3: Cross multiply
    201,397,410x = 310,992,834 × 310,992,834
  4. Step 4: Simplify right side
    201,397,410x = 96,716,542,799,351,552
  5. Step 5: Solve for x
    x = 96,716,542,799,351,552/201,397,410
  6. Step 6: Final answer
    x = 480,227,341.55

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.