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Finding the Third Proportional to 85,182,565.50 and 185,289,997.50

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Solution

The third proportional to 85,182,565.50 and 185,289,997.50 is: 403,044,718.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,182,565.50 : 185,289,997.50 = 185,289,997.50 : x
  2. Step 2: Convert to fraction form
    85,182,565.50/185,289,997.50 = 185,289,997.50/x
  3. Step 3: Cross multiply
    85,182,565.50x = 185,289,997.50 × 185,289,997.50
  4. Step 4: Simplify right side
    85,182,565.50x = 34,332,383,173,550,008
  5. Step 5: Solve for x
    x = 34,332,383,173,550,008/85,182,565.50
  6. Step 6: Final answer
    x = 403,044,718.98

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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.