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Finding the Third Proportional to 184,542,936 and 259,547,292

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Solution

The third proportional to 184,542,936 and 259,547,292 is: 365,035,900.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,542,936 : 259,547,292 = 259,547,292 : x
  2. Step 2: Convert to fraction form
    184,542,936/259,547,292 = 259,547,292/x
  3. Step 3: Cross multiply
    184,542,936x = 259,547,292 × 259,547,292
  4. Step 4: Simplify right side
    184,542,936x = 67,364,796,784,533,264
  5. Step 5: Solve for x
    x = 67,364,796,784,533,264/184,542,936
  6. Step 6: Final answer
    x = 365,035,900.29

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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.