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Finding the Third Proportional to 201,349,512 and 310,925,680

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Solution

The third proportional to 201,349,512 and 310,925,680 is: 480,134,158.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,349,512 : 310,925,680 = 310,925,680 : x
  2. Step 2: Convert to fraction form
    201,349,512/310,925,680 = 310,925,680/x
  3. Step 3: Cross multiply
    201,349,512x = 310,925,680 × 310,925,680
  4. Step 4: Simplify right side
    201,349,512x = 96,674,778,483,462,400
  5. Step 5: Solve for x
    x = 96,674,778,483,462,400/201,349,512
  6. Step 6: Final answer
    x = 480,134,158.38

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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.