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Finding the Third Proportional to 82,938,888 and 184,286,088

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Solution

The third proportional to 82,938,888 and 184,286,088 is: 409,474,530.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,938,888 : 184,286,088 = 184,286,088 : x
  2. Step 2: Convert to fraction form
    82,938,888/184,286,088 = 184,286,088/x
  3. Step 3: Cross multiply
    82,938,888x = 184,286,088 × 184,286,088
  4. Step 4: Simplify right side
    82,938,888x = 33,961,362,230,343,744
  5. Step 5: Solve for x
    x = 33,961,362,230,343,744/82,938,888
  6. Step 6: Final answer
    x = 409,474,530.58

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.