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Finding the Third Proportional to 242,051,724 and 363,325,392

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Solution

The third proportional to 242,051,724 and 363,325,392 is: 545,360,050.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,051,724 : 363,325,392 = 363,325,392 : x
  2. Step 2: Convert to fraction form
    242,051,724/363,325,392 = 363,325,392/x
  3. Step 3: Cross multiply
    242,051,724x = 363,325,392 × 363,325,392
  4. Step 4: Simplify right side
    242,051,724x = 132,005,340,471,953,664
  5. Step 5: Solve for x
    x = 132,005,340,471,953,664/242,051,724
  6. Step 6: Final answer
    x = 545,360,050.70

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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.