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Finding the Third Proportional to 126,156,968 and 184,445,904

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Solution

The third proportional to 126,156,968 and 184,445,904 is: 269,666,369.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,156,968 : 184,445,904 = 184,445,904 : x
  2. Step 2: Convert to fraction form
    126,156,968/184,445,904 = 184,445,904/x
  3. Step 3: Cross multiply
    126,156,968x = 184,445,904 × 184,445,904
  4. Step 4: Simplify right side
    126,156,968x = 34,020,291,502,377,216
  5. Step 5: Solve for x
    x = 34,020,291,502,377,216/126,156,968
  6. Step 6: Final answer
    x = 269,666,369.14

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.