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Finding the Third Proportional to 175,181,820.75 and 413,533,203.75

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Solution

The third proportional to 175,181,820.75 and 413,533,203.75 is: 976,184,114.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,181,820.75 : 413,533,203.75 = 413,533,203.75 : x
  2. Step 2: Convert to fraction form
    175,181,820.75/413,533,203.75 = 413,533,203.75/x
  3. Step 3: Cross multiply
    175,181,820.75x = 413,533,203.75 × 413,533,203.75
  4. Step 4: Simplify right side
    175,181,820.75x = 171,009,710,603,739,008
  5. Step 5: Solve for x
    x = 171,009,710,603,739,008/175,181,820.75
  6. Step 6: Final answer
    x = 976,184,114.72

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.