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Finding the Third Proportional to 201,349,524 and 310,925,698

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Solution

The third proportional to 201,349,524 and 310,925,698 is: 480,134,185.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,349,524 : 310,925,698 = 310,925,698 : x
  2. Step 2: Convert to fraction form
    201,349,524/310,925,698 = 310,925,698/x
  3. Step 3: Cross multiply
    201,349,524x = 310,925,698 × 310,925,698
  4. Step 4: Simplify right side
    201,349,524x = 96,674,789,676,787,200
  5. Step 5: Solve for x
    x = 96,674,789,676,787,200/201,349,524
  6. Step 6: Final answer
    x = 480,134,185.35

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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.