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Finding the Third Proportional to 201,397,546 and 310,993,057

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Solution

The third proportional to 201,397,546 and 310,993,057 is: 480,227,705.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,397,546 : 310,993,057 = 310,993,057 : x
  2. Step 2: Convert to fraction form
    201,397,546/310,993,057 = 310,993,057/x
  3. Step 3: Cross multiply
    201,397,546x = 310,993,057 × 310,993,057
  4. Step 4: Simplify right side
    201,397,546x = 96,716,681,502,205,248
  5. Step 5: Solve for x
    x = 96,716,681,502,205,248/201,397,546
  6. Step 6: Final answer
    x = 480,227,705.96

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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.