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Finding the Third Proportional to 201,397,363 and 310,992,771

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Solution

The third proportional to 201,397,363 and 310,992,771 is: 480,227,259.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,397,363 : 310,992,771 = 310,992,771 : x
  2. Step 2: Convert to fraction form
    201,397,363/310,992,771 = 310,992,771/x
  3. Step 3: Cross multiply
    201,397,363x = 310,992,771 × 310,992,771
  4. Step 4: Simplify right side
    201,397,363x = 96,716,503,614,258,448
  5. Step 5: Solve for x
    x = 96,716,503,614,258,448/201,397,363
  6. Step 6: Final answer
    x = 480,227,259.05

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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.