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Finding the Third Proportional to 85,182,582.66 and 185,290,027.88

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Solution

The third proportional to 85,182,582.66 and 185,290,027.88 is: 403,044,769.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,182,582.66 : 185,290,027.88 = 185,290,027.88 : x
  2. Step 2: Convert to fraction form
    85,182,582.66/185,290,027.88 = 185,290,027.88/x
  3. Step 3: Cross multiply
    85,182,582.66x = 185,290,027.88 × 185,290,027.88
  4. Step 4: Simplify right side
    85,182,582.66x = 34,332,394,429,918,276
  5. Step 5: Solve for x
    x = 34,332,394,429,918,276/85,182,582.66
  6. Step 6: Final answer
    x = 403,044,769.94

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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.