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Finding the Third Proportional to 211,973,188.50 and 319,975,065

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Solution

The third proportional to 211,973,188.50 and 319,975,065 is: 483,004,680.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,973,188.50 : 319,975,065 = 319,975,065 : x
  2. Step 2: Convert to fraction form
    211,973,188.50/319,975,065 = 319,975,065/x
  3. Step 3: Cross multiply
    211,973,188.50x = 319,975,065 × 319,975,065
  4. Step 4: Simplify right side
    211,973,188.50x = 102,384,042,221,754,224
  5. Step 5: Solve for x
    x = 102,384,042,221,754,224/211,973,188.50
  6. Step 6: Final answer
    x = 483,004,680.67

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.