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Finding the Third Proportional to 184,507,006 and 259,532,348

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Solution

The third proportional to 184,507,006 and 259,532,348 is: 365,064,943.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,507,006 : 259,532,348 = 259,532,348 : x
  2. Step 2: Convert to fraction form
    184,507,006/259,532,348 = 259,532,348/x
  3. Step 3: Cross multiply
    184,507,006x = 259,532,348 × 259,532,348
  4. Step 4: Simplify right side
    184,507,006x = 67,357,039,658,393,104
  5. Step 5: Solve for x
    x = 67,357,039,658,393,104/184,507,006
  6. Step 6: Final answer
    x = 365,064,943.16

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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.