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Finding the Third Proportional to 120,841,796 and 184,730,385

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Solution

The third proportional to 120,841,796 and 184,730,385 is: 282,396,623.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,841,796 : 184,730,385 = 184,730,385 : x
  2. Step 2: Convert to fraction form
    120,841,796/184,730,385 = 184,730,385/x
  3. Step 3: Cross multiply
    120,841,796x = 184,730,385 × 184,730,385
  4. Step 4: Simplify right side
    120,841,796x = 34,125,315,142,248,224
  5. Step 5: Solve for x
    x = 34,125,315,142,248,224/120,841,796
  6. Step 6: Final answer
    x = 282,396,623.29

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.