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Finding the Third Proportional to 85,065,583.50 and 185,590,237.50

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Solution

The third proportional to 85,065,583.50 and 185,590,237.50 is: 404,908,011.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,065,583.50 : 185,590,237.50 = 185,590,237.50 : x
  2. Step 2: Convert to fraction form
    85,065,583.50/185,590,237.50 = 185,590,237.50/x
  3. Step 3: Cross multiply
    85,065,583.50x = 185,590,237.50 × 185,590,237.50
  4. Step 4: Simplify right side
    85,065,583.50x = 34,443,736,255,306,408
  5. Step 5: Solve for x
    x = 34,443,736,255,306,408/85,065,583.50
  6. Step 6: Final answer
    x = 404,908,011.42

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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.