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Finding the Third Proportional to 184,064,706 and 293,025,235

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Solution

The third proportional to 184,064,706 and 293,025,235 is: 466,486,977.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,064,706 : 293,025,235 = 293,025,235 : x
  2. Step 2: Convert to fraction form
    184,064,706/293,025,235 = 293,025,235/x
  3. Step 3: Cross multiply
    184,064,706x = 293,025,235 × 293,025,235
  4. Step 4: Simplify right side
    184,064,706x = 85,863,788,346,805,232
  5. Step 5: Solve for x
    x = 85,863,788,346,805,232/184,064,706
  6. Step 6: Final answer
    x = 466,486,977.39

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.