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Finding the Third Proportional to 92,184,726 and 201,258,388

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Solution

The third proportional to 92,184,726 and 201,258,388 is: 439,388,828.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,184,726 : 201,258,388 = 201,258,388 : x
  2. Step 2: Convert to fraction form
    92,184,726/201,258,388 = 201,258,388/x
  3. Step 3: Cross multiply
    92,184,726x = 201,258,388 × 201,258,388
  4. Step 4: Simplify right side
    92,184,726x = 40,504,938,740,358,544
  5. Step 5: Solve for x
    x = 40,504,938,740,358,544/92,184,726
  6. Step 6: Final answer
    x = 439,388,828.26

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.