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Finding the Third Proportional to 242,051,726 and 363,325,395

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Solution

The third proportional to 242,051,726 and 363,325,395 is: 545,360,055.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,051,726 : 363,325,395 = 363,325,395 : x
  2. Step 2: Convert to fraction form
    242,051,726/363,325,395 = 363,325,395/x
  3. Step 3: Cross multiply
    242,051,726x = 363,325,395 × 363,325,395
  4. Step 4: Simplify right side
    242,051,726x = 132,005,342,651,906,032
  5. Step 5: Solve for x
    x = 132,005,342,651,906,032/242,051,726
  6. Step 6: Final answer
    x = 545,360,055.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.