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Finding the Third Proportional to 85,138,807 and 186,758,843

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Solution

The third proportional to 85,138,807 and 186,758,843 is: 409,670,591.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,138,807 : 186,758,843 = 186,758,843 : x
  2. Step 2: Convert to fraction form
    85,138,807/186,758,843 = 186,758,843/x
  3. Step 3: Cross multiply
    85,138,807x = 186,758,843 × 186,758,843
  4. Step 4: Simplify right side
    85,138,807x = 34,878,865,438,698,648
  5. Step 5: Solve for x
    x = 34,878,865,438,698,648/85,138,807
  6. Step 6: Final answer
    x = 409,670,591.68

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.