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Finding the Third Proportional to 201,397,772 and 310,993,377

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Solution

The third proportional to 201,397,772 and 310,993,377 is: 480,228,155.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,397,772 : 310,993,377 = 310,993,377 : x
  2. Step 2: Convert to fraction form
    201,397,772/310,993,377 = 310,993,377/x
  3. Step 3: Cross multiply
    201,397,772x = 310,993,377 × 310,993,377
  4. Step 4: Simplify right side
    201,397,772x = 96,716,880,537,864,128
  5. Step 5: Solve for x
    x = 96,716,880,537,864,128/201,397,772
  6. Step 6: Final answer
    x = 480,228,155.34

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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.