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Finding the Third Proportional to 90,692,586.56 and 185,191,828.88

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Solution

The third proportional to 90,692,586.56 and 185,191,828.88 is: 378,156,746.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,692,586.56 : 185,191,828.88 = 185,191,828.88 : x
  2. Step 2: Convert to fraction form
    90,692,586.56/185,191,828.88 = 185,191,828.88/x
  3. Step 3: Cross multiply
    90,692,586.56x = 185,191,828.88 × 185,191,828.88
  4. Step 4: Simplify right side
    90,692,586.56x = 34,296,013,482,067,284
  5. Step 5: Solve for x
    x = 34,296,013,482,067,284/90,692,586.56
  6. Step 6: Final answer
    x = 378,156,746.68

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.