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Finding the Third Proportional to 184,542,937 and 259,547,293.50

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Solution

The third proportional to 184,542,937 and 259,547,293.50 is: 365,035,902.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,542,937 : 259,547,293.50 = 259,547,293.50 : x
  2. Step 2: Convert to fraction form
    184,542,937/259,547,293.50 = 259,547,293.50/x
  3. Step 3: Cross multiply
    184,542,937x = 259,547,293.50 × 259,547,293.50
  4. Step 4: Simplify right side
    184,542,937x = 67,364,797,563,175,144
  5. Step 5: Solve for x
    x = 67,364,797,563,175,144/184,542,937
  6. Step 6: Final answer
    x = 365,035,902.53

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.