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Finding the Third Proportional to 194,963,071.50 and 302,856,914.25

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Solution

The third proportional to 194,963,071.50 and 302,856,914.25 is: 470,459,917.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,963,071.50 : 302,856,914.25 = 302,856,914.25 : x
  2. Step 2: Convert to fraction form
    194,963,071.50/302,856,914.25 = 302,856,914.25/x
  3. Step 3: Cross multiply
    194,963,071.50x = 302,856,914.25 × 302,856,914.25
  4. Step 4: Simplify right side
    194,963,071.50x = 91,722,310,509,031,856
  5. Step 5: Solve for x
    x = 91,722,310,509,031,856/194,963,071.50
  6. Step 6: Final answer
    x = 470,459,917.37

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.