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Finding the Third Proportional to 66,885,789.50 and 146,924,743.75

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Solution

The third proportional to 66,885,789.50 and 146,924,743.75 is: 322,742,401.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,885,789.50 : 146,924,743.75 = 146,924,743.75 : x
  2. Step 2: Convert to fraction form
    66,885,789.50/146,924,743.75 = 146,924,743.75/x
  3. Step 3: Cross multiply
    66,885,789.50x = 146,924,743.75 × 146,924,743.75
  4. Step 4: Simplify right side
    66,885,789.50x = 21,586,880,326,003,164
  5. Step 5: Solve for x
    x = 21,586,880,326,003,164/66,885,789.50
  6. Step 6: Final answer
    x = 322,742,401.45

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.