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Finding the Third Proportional to 201,397,946 and 310,993,656

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Solution

The third proportional to 201,397,946 and 310,993,656 is: 480,228,602.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,397,946 : 310,993,656 = 310,993,656 : x
  2. Step 2: Convert to fraction form
    201,397,946/310,993,656 = 310,993,656/x
  3. Step 3: Cross multiply
    201,397,946x = 310,993,656 × 310,993,656
  4. Step 4: Simplify right side
    201,397,946x = 96,717,054,072,246,336
  5. Step 5: Solve for x
    x = 96,717,054,072,246,336/201,397,946
  6. Step 6: Final answer
    x = 480,228,602.09

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.