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Finding the Third Proportional to 65,713,453.50 and 140,222,332.50

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Solution

The third proportional to 65,713,453.50 and 140,222,332.50 is: 299,212,740.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,713,453.50 : 140,222,332.50 = 140,222,332.50 : x
  2. Step 2: Convert to fraction form
    65,713,453.50/140,222,332.50 = 140,222,332.50/x
  3. Step 3: Cross multiply
    65,713,453.50x = 140,222,332.50 × 140,222,332.50
  4. Step 4: Simplify right side
    65,713,453.50x = 19,662,302,531,740,556
  5. Step 5: Solve for x
    x = 19,662,302,531,740,556/65,713,453.50
  6. Step 6: Final answer
    x = 299,212,740.84

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.