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Finding the Third Proportional to 85,353,498 and 186,896,628

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Solution

The third proportional to 85,353,498 and 186,896,628 is: 409,243,327.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,353,498 : 186,896,628 = 186,896,628 : x
  2. Step 2: Convert to fraction form
    85,353,498/186,896,628 = 186,896,628/x
  3. Step 3: Cross multiply
    85,353,498x = 186,896,628 × 186,896,628
  4. Step 4: Simplify right side
    85,353,498x = 34,930,349,557,770,384
  5. Step 5: Solve for x
    x = 34,930,349,557,770,384/85,353,498
  6. Step 6: Final answer
    x = 409,243,327.76

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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.