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Finding the Third Proportional to 85,301,440 and 184,195,072

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Solution

The third proportional to 85,301,440 and 184,195,072 is: 397,740,349.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,301,440 : 184,195,072 = 184,195,072 : x
  2. Step 2: Convert to fraction form
    85,301,440/184,195,072 = 184,195,072/x
  3. Step 3: Cross multiply
    85,301,440x = 184,195,072 × 184,195,072
  4. Step 4: Simplify right side
    85,301,440x = 33,927,824,549,085,184
  5. Step 5: Solve for x
    x = 33,927,824,549,085,184/85,301,440
  6. Step 6: Final answer
    x = 397,740,349.39

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.